{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6c5509d1",
   "metadata": {},
   "source": [
    "# **<font size=4 color=#BB3D00 face=微软雅黑>信号平滑处理</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9fa2eacd",
   "metadata": {},
   "source": [
    "## <font size=3  face=微软雅黑>**※Matlab案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21e01b90",
   "metadata": {},
   "source": [
    "网址：https://ww2.mathworks.cn/help/signal/ug/signal-smoothing.html   \n",
    "描述：本案例由4个示例构成。   \n",
    "### - <font color=DarkOrChid size=3>示例1：如何使用移动平均滤波器和重采样来隔离一天中时间的周期性分量对每小时温度读数的影响</font>\n",
    "### - <font color=DarkOrChid size=3>示例2：如何从开环电压测量中去除不需要的线路噪声</font>\n",
    "### - <font color=DarkOrChid size=3>示例3：如何使用中值滤波器来平滑时钟信号的电平，同时保留边缘</font>\n",
    "### - <font color=DarkOrChid size=3>示例4：如何使用 Hampel 滤波器去除较大的异常值</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43f7b557",
   "metadata": {},
   "source": [
    "## <font size=3 face=微软雅黑>**※Python案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d197427d",
   "metadata": {},
   "source": [
    "针对以上案例，采用Python语言实现。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "757d924a",
   "metadata": {},
   "source": [
    "### - <font color  =DarkOrChid size=3>示例1：如何使用移动平均滤波器和重采样来隔离一天中时间的周期性分量对每小时温度读数的影响</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae753fff",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>目的</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5af210a",
   "metadata": {},
   "source": [
    "平滑可以在数据中发现关键特征同时忽略不重要噪声。可以使用滤波来实现平滑。平滑的目标是产生缓慢的值变化以便更容易看到数据的趋势。在下面的示例中，数据来源于2011年1月整个月份中每小时在洛根机场采样的温度。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "04a50411",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.io import loadmat\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "tempC = loadmat(\"bostemp.mat\")\n",
    "days = (np.arange(31*24)+1)/24\n",
    "fig,ax = plt.subplots();ax.plot(days,tempC['tempC'],linewidth=0.6)\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfc74f17",
   "metadata": {},
   "source": [
    "我们可以直观地看到一天中的时间对温度读数的影响。如果只关注一个月内的每日温度变化，则每小时的波动只会产生噪声，使得每日的变化很难辨别。为了去除时间的影响，我们接下来使用移动平均滤波器来平滑处理数据。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "969e296e",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3 >移动平均滤波器</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9825e6c",
   "metadata": {},
   "source": [
    "长度为N的移动平均滤波器的最简单形式是取波形的每$N$个连续采样的平均值。为了对每个数据点应用移动平均滤波器，构造滤波器的系数使得每个点的权重相等且占比为总均值的$1/24$。这样可以得出每24小时的平均温度。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ac9b860e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import signal\n",
    "hoursPerDay = 24\n",
    "coeff24hMA = np.ones(hoursPerDay)/hoursPerDay\n",
    "zi = signal.lfilter_zi(coeff24hMA,1)*0\n",
    "avg24hTempC,_ = signal.lfilter(coeff24hMA,1,tempC['tempC'].flatten(),zi=zi)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days,avg24hTempC,linewidth=0.6,label='24 Hour Average (delayed)')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39db08be",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>滤波器延迟</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8606800e",
   "metadata": {},
   "source": [
    "因为移动平均滤波器有延迟，滤波后的输出存在大约12个小时的延迟。长度为$N$的任何对称滤波器都存在$(N-1)/2$个采样的延迟。可以人为去除这种延迟。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "dc11d478",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEWCAYAAACXGLsWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAABw7UlEQVR4nO2dd3xb1dn4v48lWbJlyY7jnb33IIQRZiibQltWW6CDlq7fW1o66Xxbuhel431p+3ZCKQXKplBa9h4hey8SJ3Ecj8RTtrXP7497LUuylh3Zlu3z/XyUWPeee++5uuM555milEKj0Wg0mlTkjXQHNBqNRpP7aGGh0Wg0mrRoYaHRaDSatGhhodFoNJq0aGGh0Wg0mrRoYaHRaDSatGhhMQYQketE5KmR7sdoQ0SuF5FXor4rEZk9kn0ab4jIqyJywkj3Y6whImtEZFE296mFBSAitSJy3kj3Ix0icov5Qjs5erlS6m6l1AXD2I/pZj+sKdrcIiIBEek0P7tF5H9FpDqL/VgtImER8ZifwyLynWztP8Vxfxd1TL95nr3fnxzq4w8F5vX62zAf8zKgUym1YTiPO1SIyAsi4hWRKVHLzhOR2rh214vIFhHpFpEGEfmtiJQk2N8dIhIUkZokx3Oa99y/Eqy+Ffju8Z1RLFpYjBJERIAPAi3AhwewXdIX+iD7MZD93aeUcgGlwOVAFbAumcAYZF/rlVJFSqki4AzgBhF5zyD2kzFKqU9FHfOHGOdZZH4uHspjD4Zs3wNZPMangLuy3ZdUDMNv0QX8d4rjfxH4CfBloBg4FZgGPC0i+VHtnMCVQDtwXZLdXQX4gAsSPFOPAedkc3CmhUUKRMQuIr8UkXrz80sRsUetv1lEjpjrPhatxhCRd4rIBhHpEJFDInJL1Ha9I/MPi8hBETkqIt9I050zgRrgJuD9cTdWInXKp0VkD7AnatlnRWSfebyfiUieuS5PRL4pIgdEpElE/ioixXF9vUFEDgLPAS+Zh2ozRzarUnVcKRVQSm0D3gc0A180971aROpE5Csi0gD8RUS2miPO3nOxmf1dnub3QSm1H3gNWBjX98gLwhz9fSzFbi5J9BtlioicKiKviUibiGwSkdVxx/6+ud4jIv8UkYkicrd5n7wlItOj2ie9Zub6j4rIDhFpFZH/iMi0uG3j74Ffmfdih4isE5EzzeUXAV8H3mf2a5O5PGbGLVGzjyT3Rco+xf1O+cA7gBejlp0sImvN/jWKyG1R694lItvM3/UFEVkQd66zo77fISLfN/9OdI9ZROTrIvK2GLPedWLOBkRkvog8LSItIrJLRN6b/qrH8GvgGkmgzhQRN/Ad4DNKqX+bz0Ut8F4MgfGBqOZXAm0Ys4Nkg8MPA78DNhMnUJRSXmAdkD2Ng1Jq3H+AWuC8BMu/C7wBVADlGC+i75nrLgIagEVAIcYISQGzzfWrgSUYAnkp0Ai8x1w33Wz7B6AAWIYxQliQoo9/Av4B2IBjwBVR664HXon6roCnMUb0BVHLnjeXTQV2Ax8z130U2AvMBIqAh4C74vr6V8Bp9rd3mTVFf28B/pbkN30z6jcKYoy07Oa+b8YYqfe2fzewJckxVgN1Ud/nAIeBd8T13RrV5oWo8070uyX8jTI5T2CSeW0uMa/7+eb38qhj7wVmYYwqt5vHOA+wmr/xXzLpD/Aec18LzG2/CbyW5h74ADDRbP9FjPvXkex6EfdcxJ1rovsiZZ/i9r0I6Ipb9jrwQfPvIuBU8++5GCP28zHu/5vN4+RHnevsqP3cAXw/xT32ZWALMA8QjOdvonkeh4CPmP1fARwFFpn7uhbYnOJeeAH4GHBb1O90HlAb9c4IkuC5Ae4E7on6/izwU6DS3GZFXPupQBhjYPTFRP3CEFy3Ze09ma0djeZP/EMRtfxt4JKo7xdGXfg/Az+KWjc7/qaN29cvgV+Yf/c+aJOj1q8B3p9k20Kggz5h83/Ao1Hrr6f/S+8dcftQwEVR3/8LeDbqxvyvqHXzgID5wPT2dWbU+t5lgxEWnwL2mH+vBvyYLyxzWQ3QCbjN7w8ANyc5xmrzgWkzfx+FIejyk/WT9MIi4W+UyXkCX8EUslHr/wN8OOrY34ha93PgyajvlwEbM7xmTwI3RK3LA7qBacnugQR9bwWWJbteZCYsou+LlH2K2/fpQEPcspcwRt5lccv/G/hH3H4PA6ujzjWVsIi/x3YB707Qp/cBL8ct+z/g26l+x/h7C2Ng2Y4hEKOFxQfizzlq2x8DT5t/9wqC5VH30K/i2n+z917BeGZCwAlxbX4A/DmTvmfy0Wqo1NQAB6K+HzCX9a47FLUu+m9E5BQReV5EmkWkHeMlWRa3/4aov7sxRlOJuBxjdNFryLobuFhEylP0/VCaZfHnEn+eVoxRTar9DYZJGHaXXpqVMWUGQClVD7wKXCmG0e9ijPNNRr1SqkQp5QZKgB6MUdpgSfYbZcI04GpTVdImIm0YdpRovXFj1N89Cb7H3wPJ+jMN+FXUcVowRsmTkmyLiHzRVBG1m9sU0/+eHCjRx8ikT720Aq64ZTdgzCJ2miq5S83lMfenUipsHjfRfhMRc48BUzAGgvFMA06Ju37XYdjaMkYp1Qz8L/0NzEeBMklsN6k214Nhm9yhlNpofr8buFZEbFHtP2Qu731mXqS/usqFMZDKClpYpKYe4wbqZaq5DOAIMDlq3RRi+TuGkWmKUqoYQ7cog+zHhzFeIgdNvev9GNPxa1JsoxIsi+5j9LkkOs8gsS8yleTvjDH17ZcBL6fZ150Yo7CrgdeVUocz2b9Sqh3jd++1eXSZ/xdGNUv34Cf7jTLhEMbMoiTq41RK/XgA+8i0P4eAT8Ydq0Ap9VpU+8hva9onvoKhH5+glCrBGP1KfNsoukj/20Vvl0mfetljdEsiL3yl1B6l1DUYat+fAA+IYeiNuT9FRDB+l977ojtNP+PP7RCGKjCeQ8CLcf0vUkr9vwRt0/Ez4BzgxKhlr2Oom6+Ibmie48UYM3wwBMFMMTylGjDUWmVmG0TkNAyV69ei2pyCYSuJFkQLgE2D6HtCtLDowyYijqiPFbgH+KaIlItIGfAtoNe98B/AR0RkgYgUmuuicQEtSimvGK6u1w6mU+bDdC5wKbDc/CzDeJjiRxLp+LKITDCNeTcB95nL7wE+LyIzRCTawyeYZD/NGNPkmRmeg800SN6D8SDflmaTRzD0xTdh6MQzwuz7+4FtEBnhHQY+YBo1P0ril0Q0yX6jTPgbcJmIXGgez2EaWCen3XLg/fkdxstiEYCIFIvI1Sn248IYADQDVhH5FuCOWt8ITJdYg/5GDGcKm4isxPC+SUXGfVJKBYBngLN7l4nIB0Sk3Jw5tJmLQxjP2jtF5FxzdP1FjJdurxDaiDHytohhrI/sMwl/BL4nInPEYKmITAQeB+aKyAfNc7aJyEnRxvRMUUq1YagZb45a1o6hZvsfEbnI3P90jMFfHXCXGM4is4CT6XveF2MMgnqf9w9j2KMWxrUppE+g2DEE1dMD7Xuqkxr3HwzdrIr7fB9wYBiJjpifXxOr+/wahiqpHvh/5nZTzHVXYUydOzFuwv+lv743oS49rm9fBdYlWF6DYVdYTGLd++y49gr4LLAPw+j6c8BirsvDEHaHMF4mf8MYfSbsq7n8u2bbNkxDZNz6W8z+eTBGqHuA3wCTotqsJspAHbf9H83tilJct9UYQstjfo4BTxCrv74Y2G/28+cY0/VUNouEv1GKPtxClK4fY4T3IoYKptnsz9RE1xjjHrsj6vt5wN5M+4OhrtiCYa85RJR+Ov4eACwYThIdGPfyzUTZJDAMvK9gqIfWm8tmAm+av+0TGPd/0ns4XZ8S/HbvJNZm8zegyTzeNkwbnbnucgyHgHbz910UtW6l2b4Tw9HkHmJtFnVxx7Vg6Pz3m9u8hWk/xLDXPWFeu2MYXl7LzXXXAdtSnE/89S0yz6c2rt0NwFb61JD/R9/z9jvgwQT7PhlDQNaY1+iyBG1+Azxg/n018NDxvBfjP2LuWHOcmKOPrYBdJR+RjxgiooA5Sqm9I92XTDBHvnOVUh9I23iMMtqu2WAQw+X7M2qMBOblCiLyJoazwdZs7XPIg3XGMiJyOcYoxImhFvpnLgqK0YaIlGKMvj440n3RDC1KqTNGug9jEaXUKdnep7ZZHB+fxJiuvo2hWx2MIUwThYh8HEN98aRS6qV07TUazfCg1VAajUajSYueWWg0Go0mLWPSZlFWVqamT58+0t3QaDSjgMYOL5Vux0h3IydYt27dUaVUwmDfMSkspk+fztq1a0e6GxqNZhTwoT+v4a8fPTl9w3GAiBxItk6roTQazbimsd2bvpFGCwuNRjO+aen24wuGRrobOY8WFhqNZlzj8QbxeHV4VDrGpM0iEYFAgLq6OrxePeUcazgcDiZPnozNZkvfWKOJIhRW9ARCdPlCTEyW81kDjCNhUVdXh8vlYvr06RhJKzVjAaUUx44do66ujhkzZox0dzSjjC5/kAKbhU5fYKS7kvOMGzWU1+tl4sSJWlCMMUSEiRMn6hmjZlB4vEGqih10+bTNIh3jRlgAWlCMUfR11QyWLl+QSrcdj55ZpGVcCQuNRqOJptMXpMrtwKNnFmnRwmIYKSqKtaDdcccd3HjjjUO2/2Rs2bKF5cuXs3z5ckpLS5kxYwbLly/nvPPOy1pfNJrRgDGzcGhvqAwYNwbusUwoFMJisWTcfsmSJWzcuBGA66+/nksvvZSrrkpXBE2jGXt4vIaw6PJpYZEOPbPIEQ4cOMC5557L0qVLOffcczl48CBgvMwfeOCBSLve2cMLL7zAOeecw7XXXsuSJUti9vXBD36QRx99NPL9uuuu47HHHkvbh6eeeopVq1axYsUKrr76ajweD2CkT/n617/OqlWrWLlyJevXr+fCCy9k1qxZ/O53v4v056yzzuLyyy9n4cKFfOpTnyIcDh/fj6LRDDEen2Hg7tTCIi1aWAwjPT09EfXP8uXL+da3+sp233jjjXzoQx9i8+bNXHfddXz2s59Nu781a9bwgx/8gO3bt8cs/9jHPsZf/vIXANrb23nttde45JJLUu7r6NGjfP/73+eZZ55h/fr1rFy5kttu6yuVPWXKFF5//XXOPPPMiAB74403Ys5hzZo1/PznP2fLli28/fbbPPTQQxn9LhrNSOHx6ZlFpoxbNdT/PLuH+vaerO2vpriAz5w7J2WbgoKCiPoHDJtFb8LD119/PfJy/eAHP8jNN9+caBcxnHzyyQljC84++2w+/elP09TUxEMPPcSVV16J1Zr6Ur/xxhts376d008/HQC/38+qVasi69/1rncBhgrL4/HgcrlwuVw4HA7a2toi/Zk5cyYA11xzDa+88opWb2lymi5fkAqXnW6/FhbpGLfCIt2LfaTpdQe1Wq0RdY5SCr/fH2njdDqTbv/BD36Qu+++m3vvvZc///nPaY+nlOL888/nnnvuSbjebrcDkJeXF/m793swGIzpc/w5aDS5iscXwuUYt6/BAaHVUDnCaaedxr333gvA3XffzRlnGKWJp0+fzrp16wB49NFHCQQy8we//vrr+eUvfwnAokWL0rY/9dRTefXVV9m7dy8A3d3d7N69e0DnsGbNGvbv3084HOa+++6LnINGk6t4fAGcdivavJYeLSxyhF//+tf85S9/YenSpdx111386le/AuDjH/84L774IieffDJvvvlmytlENJWVlSxYsICPfOQjGbUvLy/njjvu4JprrmHp0qWceuqp7Ny5c0DnsGrVKr761a+yePFiZsyYweWXXz6g7TWa4SYUVtgseVgtwtbD7SPdnZxmTNbgXrlypYovfrRjxw4WLFgwQj0afrq7u1myZAnr16+nuLh4yI/3wgsvcOutt/L4448P+bESMd6uryY7fO2hzfzoiqU8v7MJXzDMRYurRrpLI4qIrFNKrUy0Ts8sxiDPPPMM8+fP5zOf+cywCAqNZrRT7rLT3Knzi6VCW3bGIOedd14kTmO4WL16NatXrx7WY2o02aLCZae50zfS3chp9MxCo9GMOw4e6+ZPr+zHbjUyH5Q681lT28L2+o4R7lnuooWFRqMZdzy+pZ5Z5U6+cMFcAKyWPL592SIe2Xh4hHuWu2hhodFoxh1NHT5OmTERt6OvuuKMMif+oPahTYYWFhqNZtzhDYQoyI9NvplvycMf0sIiGVpYDBOHDh3inHPOYcGCBSxatCgSRxHNrbfeiohw9OjRfutqa2tZvHhxzLJbbrmFW2+9dcj6/PDDDyMiA4630GhGI3l5wlgMJcgWWlgME1arlZ///Ofs2LGDN954g9tvvz0mAeChQ4d4+umnmTp16rD3rTddRzz33HMPZ5xxRiSy/HgJhXSBGY1mtJJTwkJE/iwiTSKyNWpZqYg8LSJ7zP8njGQfB0t1dTUrVqwAwOVysWDBAg4f7jOmff7zn+enP/3poPMpbdy4kVNPPZWlS5dy+eWX09raChgurb0BikePHmX69OmAkcTw6quv5rLLLuOCCy7otz+Px8Orr77Kn/70p4iwePLJJ3nve98bafPCCy9w2WWXAanTm3/3u9/ljDPO4P777+cPf/gDJ510EsuWLePKK6+ku7sbgLfffptTTz2Vk046iW9961sxhZx+9rOfcdJJJ7F06VK+/e1vD+r30Wh6iZk91L4KrbUj1pfRRE4JC+AO4KK4ZV8FnlVKzQGeNb+Pampra9mwYQOnnHIKAI899hiTJk1i2bJlKbd7++23Y1Kc99aSAPjQhz7ET37yEzZv3sySJUv4zne+k7Yfr7/+OnfeeSfPPfdcv3WPPPIIF110EXPnzqW0tJT169dz/vnn88Ybb9DV1QXAfffdx/ve97606c0dDgevvPIK73//+7niiit466232LRpEwsWLOBPf/oTADfddBM33XQTb731FjU1NZFtn3rqKfbs2cOaNWvYuHEj69at46WXXkp7bhpNMlq7A0xw5htf1v8V1qZPtKnJsaA8pdRLIjI9bvG7gdXm33cCLwBfOe6DvfgzaD903LuJUDwFzv5y2mYej4crr7ySX/7yl7jdbrq7u/nBD37AU089lXbbWbNmxaQ4v+WWWwCjZkVbWxtnn302AB/+8Ie5+uqr0+7v/PPPp7S0NOG6e+65h8997nMAvP/97+eee+5hxYoVXHTRRfzzn//kqquu4oknnuCnP/0pL774Ysr05u973/sif2/dupVvfvObtLW14fF4uPDCCwFDcD3yyCMAXHvttXzpS18CDGHx1FNPccIJJwDG77dnzx7OOuustOen0SSiscNLpcsOvk7Id0LXUQj6wGpPv/E4JqeERRIqlVJHAJRSR0SkIlEjEfkE8AkgM71/Bi/2bBMIBLjyyiu57rrruOKKKwBjtrB///7IrKKuro4VK1awZs0aqqqOP09NdIpzrzc2nUGypITHjh3jueeeY+vWrYgIoVAIEeGnP/0p73vf+7j99tspLS3lpJNOwuVypU1vHn2c66+/nkceeYRly5Zxxx138MILL6Tsv1KKr33ta3zyk58cwFlrNMlp7PBS6XbAnqdgzgWgQrDjn7BE115JRa6poQaNUur3SqmVSqmV5eXlI92dfiiluOGGG1iwYAFf+MIXIsuXLFlCU1MTtbW11NbWMnnyZNavXz8gQVFcXMyECRN4+eWXAbjrrrsis4zoFOfR5VlT8cADD/ChD32IAwcOUFtby6FDh5gxYwavvPIKq1evZv369fzhD3+IzBgGkt68s7OT6upqAoEAd999d2T5qaeeyoMPPggQY1C/8MIL+fOf/xyxgRw+fJimpqaMfxuNJp6mDh8VbgfsewFmnQNzLoR9z490t3Ke0SAsGkWkGsD8f1S+KV599VXuuusunnvuuYjN4V//+lfW9n/nnXfy5S9/maVLl7Jx48ZIudMvfelL/Pa3v+W0005L6JKbiHvuuadfevErr7ySv//971gsFi699FKefPJJLr30UmBg6c2/973vccopp3D++eczf/78yPJf/vKX3HbbbZx88skcOXIkkgDxggsu4Nprr2XVqlUsWbKEq666is7OzgH/PhpNL8bMwg4qbKieLFbIs4G/e6S7ltPkXIpy02bxuFJqsfn9Z8AxpdSPReSrQKlSKmXNUZ2ifPTR3d1NQUEBIsK9997LPffcw6OPPprx9vr6ajLlvx/ZyjfPKcP+1u/gvFuMhdseAUs+X9s+mR9dsXQkuzeipEpRnlM2CxG5B8OYXSYidcC3gR8D/xCRG4CDQHrLrWbUsW7dOm688UaUUpSUlGRUClajGQj7mj1Uuh3Ut/Vgb9oC1cv7Vs4+F565BfjwCPUu98kpYaGUuibJqnOHtSOaYefMM89k06ZNI90NzRjmvNte5JZ3LWLl9FKofwGWRo077S4IeBGl030kYzTYLLJGrqncNNlBX1dNJhTmW2nq8DFpQgG0HYCSabENJq9kavfWxBtrxo+wcDgcHDt2TL9YxhhKKY4dO4bD4RjprmhynMJ8C02dXorsZgLB+GwJ8y5mQcerw9+xUUJOqaGGksmTJ1NXV0dzc/NId0WTZRwOB5MnTx7pbmhynMJ8C82dPlzWMFjy+zdwVeEKHAOl+gsSzfgRFjabjRkzZox0NzQazQhRkG+l2eNjgvcQTJydsE2zYzqhpl1YKucnXD+eGTdqKI1GM74pzLfQ1OGjuHMvVCQWBgfKVxPY/vgw92x0oIWFRqMZFxg2Cx/O9j1QnlhYeItnE27S9VsSoYWFRqMZFxSalfHye5rAVZ2wjdNhw2ufCJ2Nw9m1UYEWFhrNCHLhL17icFvPSHdjXFBcYOM9y2uw5ElSA7bLbqW55h2w+8lh7l3uo4WFRjNC9PhDHPX4qD3aNdJdGRfYLHn8/MpFSF5yvx6n3Upz8RKo3zh8HRslaGGh0YwQjR1eTphaQr2eWQwLYQV5HXVQkryEQZHDSqdfIJy41PB4RgsLjSbLhMOZBX42dHg5YeoE6tu86RtrsoBCWvdB6cykLYrsFjw+U1DoAN4YtLDQaLJIjz/Edx/fnlHbxg4vSyYV0+zRwmLYaNmfUlgUF9ho7wlAUSV4RmU1hCFDCwuNJos0dXpp9vgyatvQ7mXyhAKCIT2CHTZa9kFp8uDcCreDpk4flM+Do7uGsWO5jxYWGk0Wae700eXLTN/d0FveUzN8+D1GhtkkuOxWOr0BKJsLzVpYRKOFhUaTRZo7fXi8mQmLHn8Ip92q0xANK6l/bBExTBVlc+Fo4tLA4xUtLDSaLNLs8RHM0MCtGV5EhUAyfOXlF0Kgz0ttX7Onz/A9TtHCQqPJIp3eIC5HZvk5RU8phpXiQDMUT8qorerNPGt6RD22qZ7djeO79rsWFhpNFvEGQtitlgxb6xnIcDLRVwcT0meeLrJbjVmEsxy6jJIG9W09GduixipaWGg0WcQbCOGw6ccqF6n07YeKBenbuR00dvigYiE0GW7Q9W3ejG1RYxV9V2s0WcQbCFNcYMMbCGW8TZ4IwZCu/TzUlPsOwsQ5adtVuO00dXiNzLRNO/nLq/s53NajbRYj3QGNZiwRDCsq3Q6Odfkz3maiM5+WAbTXDI48FQRrggp5cVS6HTR2eqFsDhzbw66GTn77gRVaWIx0BzSasYWiwmWnuTN1YF4orCIG7vLeQDDN0BEOk85ttpeIGspqh6BxXZz5Vm2zGOkOaDRjjXKXqcZIgTcQwmEawsuL0gsXzXHSVktLfuIaFvFUuOw0mtcvGFY4rHm4HFY8vsxVi2MRLSw0mixT4Uo/U4g2hFe47TR16vxQQ0rjdhodyXNCReO0W+k2BYMnv5yZ9g6cdiseX2Aoe5jzaGGh0WSZGeVO/rmp3vDVT4I3GKbAZswsypx2jnq0zWJIadpBQ4bCAvpqIzUXzGQmB7FZ8giN82BLLSw0mixTZLeybEoJHT3Jddw9/hAOU1gUObQ+fMhpP0ibrWrAmx2yTWeS/8AQdGj0oYWFRjME1BQ7qG9PXtQoWg3ljK6hoBk6BhExvz9cSan34BB0ZvShhYVGMwTUlBSw7kBrUtWFLxjCbs4s7FYLAR1nMXQEfWBJ7zIbTa9cOdIZosCaufrJGwgNKMZmNKGFhUYzBJwyYyLb6jt4aXdzwvXd/lDEZqEZYpp3Qdm8QW3q8QWxWSym6216vnj/Jm5+YPOgjpXrZJbxTKPRDIjiQhtXr5zMniTJ57p8QYrs+vEbFpp2GGk+Dme+iSVPIrM9KZkC7Ycy2q6upZvW7rHpNTVqZhYiUisiW0Rko4isHen+aDTpqHDZaepI7ELb5TNqWWiGgeadGeWEiqbIbutzOiifb+wjA5o6fWM2Gn/UCAuTc5RSy5VSK0e6IxpNPOGwIjpKuNxlT1pitcsfxGnXaqhhofsoFE4c0CZFdgudvYkDzYSCIpLSfTYcVvQEQnT5gyndpkcro01YaDQ5iy8Yxm7te6RSGa49Wg01vAzQE6rIbuU/2xoodeZD6Uw4trcvdXkS2noCLKx2U2S30jMGjdyjSVgo4CkRWScin4hfKSKfEJG1IrK2uTmxUVGjGUoMd9jY2UKyAWaXL9hPDTUWR6Mjjoqd7WVKaZGdu988yE3nzYG8PFBQWmhLqWLq6Alw1txyPrxqOl1jMDXIaBIWpyulVgAXA58WkbOiVyqlfq+UWqmUWlleXj4yPdSMa7zBzGtZdPlCMTOL4oJ82saoYXRE6W6BwtIBb1bhstPpDfYVsiqbzUypT5nzq3e26LSPzSDLUSMslFL15v9NwMPAySPbI40mFm8g3G9mYVTm7D9jMCrq9T1+FS67zjw7FLTuz6g6XjwVLjvlLnvfgqmnMaN7U8pr1CcsLHT5tbAYEUTEKSKu3r+BC4CtI9srjSYWI5Ns7CPlctjoTDLKjK7BXZ5BWnPNIGjZZ9gcBkh5vLCoOYHyjh0pr5HHa6gWnflWuv1aDTVSVAKviMgmYA3whFLq3yPcpzHBD/+1Y6S7MGZIZLM4a045tz+/N+22ZUV2jibxnLrlsW3c9cboyU/0+fs28s9N9SNy7IPHurl3TVR6jpb9UDrwmUWR3co1J03pW2DNx2lT/HtbQ1LbUpffmFm4HFbax6BKcVQIC6XUPqXUMvOzSCn1g5Hu01jhPylufs3ASKSGOmNOWcIXR7xzjsthTToD6egJJA3uy0Xauv3sbfKMyLGbPT52Rf9WnfXgqhnwfkSEi5fE1r+wlUxidZU/qZG7Vw1VVWxW2htjjAphoRkaQmFFXWvPgEqAapKT1sDddQweuAEe+CizOmPjSotSGEXzrXn4g6Mnd1SqWdJQ4/EFI4WLAFBhw5spG0w/k2WBjRxpTywIPN4gRQ4rVW4HDUnajGa0sBjHHPP4mFBoo74teXZUTeb4An3JAaNRyvzn6f+G826BK/7AbM9a2PZwpI27YzfL9vwGGhKb4oJhRSisaO3y53SiOn8wjN2WR3iEZqtdvqBREnUomHYa0z0bkwoCwx3awsQRFJZDiY4KGsc0dHhZMqk4aUoKzcDoCYQoKcyHjnr4zzcgvxDybLzvSDPB++1Yl14JJYYe/N+Vn2T10f/Av24GFcJldfJm8cWseuU2uPhn4DQijnvrXswoMwoq3f3mARbVFHPLuxaN5KkmpanTS6XLweERGoB4vMG+GZrPAzZn9nZuseEocHK05RiGGTWWTl8Ql92GJU+SxteMZrSwGMc0tHuZXVE0Jt38RgKPL0SRDfj3V+GdvzBe+J2NvLWunQmLJzGjLOrFJQJn3wxdR0GFsTrLaXx4C6z6HGy8G07/LGAI9Eq3g7PmlnP/2kOcMHUCHT25azxt7PBSVTyCwsK0G4TDirzW2kEZt1NhnX8Rzq3PwhkL+60zbFaGsmYsCguthhrHNHZ4mVVepAvvZAmPN0j13vvghA9FZga4KqksdnIkqhCSPxjGajEt3M4yKKroc6OtWgKN2yJtjZevnQqXnW31HVREu3PmIEfaDWGRb80bEXVZly/I1NJCWrr9g46xSIVrwXlUHX09yVoV4w491tDCYhzT0OFlVkURHq8WFtmgyxfEeXQTzDkvZnlVcazBs9vfP9VHBBFDVdVquMo2mjMLp91K7bGuWN//HKSh3Ut1sYNKt2NE4kY8viCzKoqM37tlX9ZnFnn5DsJiAV9q77Qih5VOb+7OAAeDFhbjmJauAFMmFI7J1AQjga/Hg9VR1G95dbGDhigPHY8vSFF+f2HR3Gm6Zc67BHYbYUQN7YawAAgrRZXbQV6esL2+Y4jO4vhoaPdSVVxApTv2nIcLjy/InIoi/vzqfrzN++l0VHPvmoOsO9CatWO8UfoeeO1/U7apLnbEemWNAbSwGNco3AXJ/fs1A6O8YyuWKSf2W14Z50qZKB4D4LJl1Wyrb4fq5XBkEwCd3iAuhyFYnvjsmZw8o5Qbz5nNv7YcGZqTOE56A9NKCmwjEpgWCivOX1jJqpkTOdbRxdZGH997fDs/ymLwab1jDsrbDofXJ21T6XYkdbEdrQxYWJipN3Qi/jFCgc2S066Yo4lpXVuQqaf2W+6wWfAF+uIkAqEwNkt/3XZJYb6hEszLA6sDfB68gb7yq26HDRGhyu3I2diYXsNukSN1Ou+hRERYUO2m2x+kvq2H+dVutta3Z23/7gIrnWd+A9b8Psa+FE118TgUFiKSJyLXisgTItIE7ASOiMg2EfmZiMwZ+m5qhgqRsenmNxJM9B/OyKDqD4bJt/YfbxXZLX0v2BOugzd/awb6xbbNy5Ocj7pPV/thqOi1L9e4LHQGhPq2HlZOmwBAa1d2ZjpVxQU0dgHvvA1e/Cm096/XWlXsoHG8CQvgeWAW8DWgSik1RSlVAZwJvAH8WEQ+MIR91Ghyn3AYhWRUZMcfCpNv7f/oOaNfsJNOBE8zM9vfxMbIR2/vaujkjy/vS9lGKRU5fWcGwiLbqjQjk68hWCcEGtnZXczLe49y+uwyLlxURXGBLSvHmVXu5OENh404mnf+HJ76ZkRt2EuFy8HLe48mnbWHw4qntjVkpT/DRSZxFucppfqJZKVUC/Ag8KCIZOcqaDSjleYdNDqSzyqiZYgxs+gvLPql/LjoR5T98Tvw2I0wcRbMuQDybFDZ38d/qNlW3869bx3iY2cmz+Da7Q9RYDNeKanSl4BhW/jTK/u5JC7/0vHQ0RPAbdp3pP0Q1154BtcuXgXAWXOzV+Nm9bwK/tP7oneWwXt+S/jxz3NC+xxQS0CEfGseq+eV09jhZdrE/oGB3YEQT29v5IJFVVnr11CTycximoicHr9QRM4UkVkAiYSJRjOeUAffoLZwSdL1ljwhaJZY9YfC5CewWRTZ45wN8iy8XnYVXP47mHwy7H8J1t8JG/+Ow2ahexiDKT0JKvvF0+UzciNBejVUa7c/62lmPFHHp70Oiqek3iBb2Bx0X/wrHBKCp78VWVxelDztvMcbTFpyN1fJRFj8EkjkVNxjrtOMQkLhvgAiq0VGVaK6XMRftxHPhOQpOIyRtqGSSDazSFlhbebZcNpn4OKfQMs+lrJ76HIgJcDjC+JKIyw6fUGK7IYayGFLHZTX1OHjmMdPOJw920uMQGuvA/ekrO07Hrs11jHEG1Tsrn4XuKrh7ecAqHA7khZL8viC+MegsJiulNocv1AptRaYnvUeaYaFLn8QZ77xYFe4HDSPgsRnuWzU9fl8THQnz0NkzBqMCbg/GCbf0t/AbbNkmF32tM9yQsuTw5rZtDdJXvo2phooje2mqdPLlNKCrHp19ab6AKDzCLiGTsVT6Y6NozBqmeTByZ+AdXeCv5vyInvSa+TxBUfdAC0TYeFIsa4gWx3RDC/dvhCFZmDYaEipvLuxk7++nqMFgDqO4LFNZIIzP2kTZwYzC4CeQJiDx7pTH8/hpsCiaO0YvhoXHm+QIrstpcA22vTNPlLJ9vaeAPOr3FkNXIupa67CkDd0Hv5VxbGCwBcMG8Z1ixXO/gq88ENmlDmT1ovp8gXxjUFh8ZaIfDx+oYjcAKzLfpc0w4E3EKKgd2bhtqcsRJ8LHGrpztnYAg69wbHSFZF4iEQYcQfGzCJZnAXA+QsrqWuNFhaJ23VNPhN3/cuD7vJA8YfCuBzWlC+4mJF9uv0Fw0wuLaApi0WCPL5AWrtKtqh0xUaoR2YWYDggBP0UeBtZPqWE9gSJHzvHqM3ic8BHROQFEfm5+XkR+Bhw05D2TjNk9ETVi46fUuciDR3e3E1LcugtmkqWUpCf/HEyDL7mzCKJ6ywYs7zYYK7Ew3Pf9HMpb3hp0F0eDK40gXaJhEWymUggpJhcUpBVu4und2ahFMmEbLaoLI5XQ4Vja5ms+jS8fnvStCddY1ENpZRqVEqdBnwHqDU/31FKrVJKjS5HYU2E6HrRlW4HjSOQ9G0gNLbnsLDwteORIhwJAu16iXYl9QfD2JMIi/g8UsnIdxZD0Aeh43NEVEpx4FhX0vWtXX4217XR5QvhtFtTqiu74jymJhblU5tEpRYMh5k0oSCrg5SIGqz9ELgHXkp1IFS5HTGlY33x9dcnTIN8J8s8Lyf8zRo6vGTRtj8sZJzuQyn1vFLqf8zPc0PZKc3QE52faEKhjdZcVfGYNHv8uRlp7u8CWyG++JFlHE67NZLd15fEwA2GSrD3BZrKPuCw5XHIdQLUvnIcnYfDbT2c/bMXIm698fzymd1srmvnPSfU8M4l1dyVwm7U1h2ICXy7+sQp/P6ltxO2DYQU1cUFWc1M2+MPUphvMVyMp5+Ztf0mwmm34g+GI9fKl2gAsPprTG19HU/D3n7br61tYWZZFgszDQM6keA4JTqNxGjIwa+Uylop5axyeB1MOpGeqBxOiYhW4QRCYWzWxL+53WqJ6LI7eoK4HYnjXR02C9uLz4Cdjx9X95s6fSlzTflDYT5w6jTeMb+SKaWFKa9Bs8cXk0J9eoqXYSBkDFZCWRxee4OmwK57CyaflLX9JmPl9NJIlUlv/MwCQITg6m8wbcfv+21bVVyAPVW99hxkdPVWkzV80QY5zeA5+AZMOSXWwJmA6PQXhuts+t++qdObtH6Fw2ahXTkhHExbWyEVzZ0+Fk9yZ6W0rj+YOJtuIoKhMNa87A5SvIEQDqtAKAjW5J5p2aLCZY8Y6L3BPhtgNGUVNXQGLUZFRBN/MLmDQy6TSSLBVSJSMgx90QwjPYlGQpqB03oAJkxPmna8l3ibRTIDdzTNnT4q3Ik91x29legWXwlbHhhc3zFmFgtrimn2DK+DQyCksGUgMAe2zzD5rXugfG5W95uMiqgCT8nUkDZLHutKLoKNf48si7ftjBZSXi0R+R5QDvzf8HRn+Hl4Qx1ff3gL9645OOzHbu8O8D/P7hn240L/mgqOHE5VbiSIy8FZkFKG041Iwuyw0Tjz+zLKpvKGArDm5bH/aBe/ffFtJk9IHMpkteSx5XA7D7fOoGHr84PsvuKZ7Y2cNH0CT27p76sSDIXJi1NRFhfk8/Ke5uQ7PbwOHvk0PPs9w33UljgqPRg2RteWPMmqC6nsfwlmnJ21/aWiptjB09sbgd7BV+JrWl84Dxo2RwJPBuJinEukewJfBU4Fdg9DX0aEN/e18P13L2bjobZhP/bOhg5uf2HviEQme+N07O4CGx0J/MFzgY6ePsNpTkVxR+Ufiv8947Fa8gibfU+nhqp02/nXliP8v7NnsWLqhKTtNte188Mnd7GtqwTaBj7Y6fAGmVtZxJlzyrFEpz0/9Bbccy3+hz/D+xt+Bg//P+gxKs198YK5fUn0omncxnvrfgB7njYysc67GJ75NpVue8KUF4GQwmrJoyrbbtsNm6Fqafb2l4IKt4OpE41Kk0c9PsqKkpW8FaNPZu2LMSkslFL/Vkp9XSn138PVoeFGxKgPMBI23oYOL/Or3LSOQEUxY2bRd/ljainkGL05f9wFtoQBTiNG/QaoOQEw/ewznP2IpHYqqCouYP2BViZPKEy/L2B78Zmw84mMjh3NkfYeJpUYMxd3gY0ObxAOvglv/QGuvoPdp/yArSd+H1Z/FR77LHQcwWbJ62+U3vA31Ma/82jN5422NgdMXgl2FwsC2xO6jvYGJtaUFGStSJAlHADJYzg9ISaVFHCkvYeWLj+lhcnsJAoWXBq5RmNSDTXWMW5646G1Wy30+IdXDdPY4WX5lJIRSbUR771RZLfltLAocliNtCS5FDxYv8EogQqAIi9LBtsqt4MNh9qoLE42Uu2juqSA+oK5/eopZEJ9Ww/VprCoLnbQtuN52HAXvPt2sOYb9bTdDiNm4J23wb+/Aj5PrAvzkU3QsAXfO76L2F2xBzjzSyw8dA9NHf2zywZNm0V1iSNr2WendW+Gqauysq9MqS4uoL7Ni1Kkvv6lM+HYXlDKTLhoRUSy6g021GRi4E77BGTSJhe5761DLJ7kBmD5lBI+d9+GYdXbN7T7WDq5OONp+J2v1fKtR7embfel+zdxOM0DGG/gdub4zKLIbs0oh5VSakjsT7c/v5dX9x6NWbZhx252dRXS2uXncFv6a+gLhPntC29z1JM6pmVmuZO5lUWRQj7JOHVmKRcuqjSmKoUTwZPClhDF4bYevviPTTy8oZ6FBW3QsIXzm+5g58sP85cJN4HFUPn9c1M9M8tN99eicjjnG/Dvr1BcYOGVPUcN1dTLt8F5tyRWrVjzCc0+n4J9T/brQzBseEPNKi/isY31afv85r5j7Gv2pGwzr+MNmH1+Rr9BtphXVcRD6+vSaCbMlVNPhdqX8Zh11WeWOfnGw1uyWh98KMmoUp6IfEZEpkYvFJF8EXmHiNwJfHhouje0bDncxrUnG6f1nhMmMbfSRad3+F6YPYEgM8uLMh4t72zoIBAKp9XbP729kT2Nqd0pO719hWLAjAMYxnMfCL0J4iqLHWldPD2+IP/cnP7lM1Bef/sYGw629i1QivoOL9uPtHOgpZuLF6fPcHrFisn85dX9tKQJgKwpKeDeT6QfId/7iVX81+rZxpf574Rdmami9jR2snv7Rj7a+EOm1D4IB15j8qlXcOFNv2VXszHIUErhLrDGFu4pnwfzL+PT8gAbDjTDv78G538HbAV4vIlVK86V11La8Bq89r/91okIlW4H1SWOtEbuDYfa2NWQ+p52htoMoTaMzK5wRXKspUIpBcuugU330txp2Dc+duZMfnzlUjq8OaRaTUEmwuIiIATcIyL1IrJdRPYBe4BrgF8ope4Ywj4CICIXicguEdkrIl/N4n4jf6esJzAkyIAzvvYrkBOHxxdkRpkzaR79XpSKO/d8K13DWExnIPQmiMtEDdXc6ctKzEA85a64QjZHd9PqmEZTh4+mDi8VSeIhoqkwjb1Doq+ecgoceD2jpqGDb/IF+yP8Z/rN8I5vwCmfhOplMW06kxlh511E4ZTlnLXtv+HE62HCdCCu8FAURQV2Hqj6PAS6DbVdAipcjrSR3E0dvtT3dMs+WvKHrn5FKvIteSk94WwWIRBSRhlWVxW+5v0Z3S+5Ria5obxKqd8opU4HpgHnAiuUUtOUUh9XSm0c6k6KiAW4HbgYWAhcIyJZry3pzLcM8wtTUVaUz9EB1JJI92A1d/pYVOMecBqFohyeWfQmiCuPCoJKRlOnb0iy09qtebEZV2tf5kjJiTR3+vpFLiejwmVHhLRFhAZFngWKJ0PL/tTtGrZS8/Y/eG7etyiZUJq0WXOnjwpX4hgP6+J3c++UbxlqFRNPVOGjhJz8CVj756gFfQOVyqgUJ8k41uVLfU/vfoqdruG1V/RS7rIbtp0kGPeOqd6e905qml+mpHD0VaIekIFbKRVQSh1RSrUNUX+ScTKwVym1TynlB+4F3p3tgxTmW+keQiN3dJbJXlWS1ZJHtz+UsUtoucuecuTc1OFlYabCwtsO3S1AbFbUXKM3QVxCT5w4mjt9lBTa+h7OLNDtD1KQb8EfDNPWbQqiI5toK1lAlz/IoZaejIRFcYGNeZWutEWEBko4DLVHu2ib9148r/+J2qNdCYVqc2s7Xc/8mDtKPsP8SaWUJ3D1tOQJbzd72Hq4PaNz6qXLZ9S7SEQwrPDb3IZd5Vhvrqi+61jhdqTMPtvW7UeAlu4Ug4AjGzlSMCfj/maTcpedquLkwsKIYTKf/ZrlVPfsjvOGk6xWDBwqRos31CTgUNT3OnNZBBH5hIisFZG17U11aXcYCqt+AUfRKRmyTVu3nx9GGbJauvxMMF3tKt0O1kfrw1NQkWZ03ezxMbW0MOXLUinFO5ruhOe+Dy/8GB75LyY2vdH3IswxupKoOBLR2OFlQZWb1q7s6YF73SIvWFTFtx7dZujwwmHCYgwudhzpSDoKj0ZE+OlVS/nQqulZ6xvAFSsm8e9tDXzl+U7+veMYO1+4hy/+I847yt/Nrj/ewL9KrmXx9ErOX1DJGXPK+u3rvSun8PT2Ro60ezlt1sSM++BJUUlv1cyJ3L/ukDG7WPOHfusrXaljLb792DYuXFSVfEDV2QjOMpSMzOvsrLnlrErxW8UEvOZZkLi08858C905GhAbzWhx9k3kaxDziyulfg/8HmDl7AqFtx0cxUl3mMh7w2m30NEzNMKiscMXE/TW0OGNjEZOmFqS8XEr3Ha2H+lIur6pw8ecChep8vn797+GJS8PLvmZscDnwfnGb5lxZBOwIKN+DCcDCWJq7PAyq9yZVaHfq4+/aHEVL+5uNlwgy2ZDkyFIVs2aiCVDt9mlk0uy1q9eTpk5kVNmTuT//W0d+xZ9lpstf6e9o52gbynWgAde+QWqq4m1NdfxuUsvSbmvZVNKWDYlfR973T57z7vXVpaIM+eW8dfXDoB7mlFJrmlnzPp0aqjCfAsXL6k2fvtEbH+U0Px3k7duZJwyq4tTFwyNUUMBPRaXMaMvNNSAhXYr3aMgUC9jUSwiDhH5gog8JCIPisjnRST9cCo71AFTor5PBpK7vDjL4c3UGUoSvYAKh9DI29zpizFMN3Z4qTT1nK4BzGjKi1LbLJo6e/XnKaa1Wx9kU/VVfd/tRchZX2Je52sZ9WG48QX70n1Y81LXqe70BqkuKciqsOiKu1fU/pcJTjkNS57gclgTqnNGApfDSrnbAed/lxJbGP+T34DXfgUnf5y2i36DtzR7A4GyIjvHomxt8b9RTFunnWNdZtuzvgwv3xpze04ozKf1eGa1h9fhKVuWs4Fu9mg1FFBfMC8mLiY6FUwuM5B521+BRcD/AP+LMQS9ayg6lYC3gDkiMkNE8oH3A48lbW0rMNIf9CRX7SSKonTaLXQP0UVr6owt3tPQ7osYxTJRf4XDChHBXWBN6WrX3uNnQirjWaCHsL8HHCWxy0Voza8xEuPlIL063nRqOIhN2pcNOqNqS7scVgJ16/GWL8VhtVBeZE+a7G+4qXA5DHWYCE1z3su+k74NF3wfSmfQ1OnLqgeOMRvoExbx9bejycuTvkA+RzFMP5P5na8mXh9HpzeA06wVn5eXIIittRaKJ9PlD+XsyNwRN7M4XDg3xjPMaR9aW2m2GIiwmKeUusEsgvS8UuoTwLCkd1RKBYEbgf8AO4B/KKW2pdzo1P+CN36bdHUiVz9n/tDYLO5Zc5CH1h+OsZE0RM0sihzpX25v7m/B7bAhIhxp9yb11Y93ie3Hrn/hmX5hwgyZ29xnwq7+AVS5hFHOMrXxvshuzWq8TJcvFLlXKory8fp8eMN52G15TJpQQE0K4+ZwUlNSQE2J0ZdJJQ5+9+Lb/PjJnfz4yZ385oW91JSkVpcMhHg7gyfqN0pEzC15wgc4ofUpCKafTUTPwKvcDl7Y1RTbYOPfYfm1OZ1Cw2GzsGZ/Ky/ubiYYCtNqnwIt+yLrczkgNpqBCIsNIhLxlRORUzASDQ4LSql/KaXmKqVmKaV+kHaDyoXQ2RDx9omhpw3ntnupCNTDSz+D/3wD6tZR5sxPG107GNbWtnL7dSuYUloAgR44+AatHZ2UFRkG7kxebk9sqeemcw1vj6tOnMymuraE7dLG0u99lraasxL6hbe6FxKoH3jaiOEkVeI5pRQi2Y+X6Y3zAJiZ10CLYyq+YBiH1cLHzpjJnEpXmj0MD+8/aQonmIkHz5lXwfffs5hPnT2TT509k++8a5ER7Z0ljFK8fdehJxBMmUgxhjwLb0x8D7z5u7RNG9p9VJrC+L9Wz+KZHY19K8NhY2YxcZYZF5KbKffLiuz89fVa7nvrIF3+EE5HPtF6uAKbhZ5RYOAeiLA4BXhNRGpFpBZ4HThbRLaIyOYh6d3xsupGeP322GVbHoAnv0KHrYzZtX+Hme+AMz4PdW9R8NjHUMdRSCYRvmCIgvw8igtsiArDozdC03auPvBdrL42IDO1STCkIpGiU0sLB5dPx9MEjhK8YUvCpHeVxQ56AmGS6gRygKpiM4jR39Wvn+09AdwFNtMNOJvCok/FMaNrI7VFyyO5tbKVDyobRPdFRCgpzI/5ZDMrT2Wxvd8ML9X+43Ov7S86AY7tMTyZSJ4iv6HDG1HXWuMz9R58DaadBqR23R1pJpUU0NYdwO2w9dlKbYXGPYxh0/CNMWFxETADONv8zAAuAS4FLst+17JA+VzoaTEClUIBeOYW6D4Gl/+O/SWn0njaLTD5RHCWwamfgtVf55Ijt2f1ZdnY7ot4SyzseBnmXgQrP8q/qj8NT94M4RCF+Ra60ugso59DI3lZamFhzcvrn0Jh64Ow5Ep8SWovVLodtNknxUyRc4OoAC6XA3VkMzz4MXjgIzE2lt4XS7aFRbTxtqxjG7vy5hg1NsZxpcGJzlgDdzqqihNE3591M7z8c8CMbk+gXmyMEhb92PYILHwPgJluJDdnFpXFdiZNKEAkylZauQgatwPgsMYawHOVjO92pdSBVJ+h7ORxce634JVfGCmW51xopDYQ4cXdzf0NfuVzqSuYf9x1jXtp6fLz3ce3M6/SBeEwS9ufJ7jgPQC05VfB0vfD67cjIhxq6U6afvvNfccosPXpYyc681l3oDXlbCShKubweqhZ0S89eS8VbjuHnIugbu3AT3ZI6RPe7gIrC/bfwePzfgCX/gKe+bYxEAAe3VjPnAoj6C27Bu6AoY9XigJLmCOeEM/taEoZtTvWseQJ9W09NHf6qGvtpi1Nmv1o91gjXkKgZAo43HB4PXMqXDy0oX98VFOHlwp37HOqlGLj7lo8PV4oKAFyu0aE3WqJ5A6L9LNqiVF7AyjIz93CY9EMxHV2pYg8LCLrRWRzTqufoimYAO/6NVz+W5jWlw7A7bAypbR/vYB1pZeitjyYkfEtHfuaPVy0uIrzFlbCrieoKz+bo91RN8Wc86D7KOx4nCvm5NGy4bGEs5o39rVww5kzIt/z8oSz5pb3SxMSHbTUrz5F/UbjBhUxaxX3H4VVuR3stsyB+vWDP+khRjqPsOqEZbxa6zGu7YoPw7o7AGjrDnDGnDIK8rOrA/b4gkaKjqN7sJbNxhcMcbithwsWpU8eOJZ5zwmT2NvkYceRTq46cXLKtm6HLWKX64kuFHXml+DVX3L+zMS2KH8otk6Iy2HU3Qi88mt2Tn1/ZHl8yv1c44sXzAPA6w/hyLdAxUJoMoJ0Hba8sSUsgLuBvwBXYqidclf9lIZUqTUmuhy0Lf4grP3TcR8nEvMQDsPWB2mf9S4aO7wRQywA530Hupo4oeEBeo4egsduNIzgvQS8LNv9K6qf+Qy8+FPwGgF5iWIzuv0hCk03w36qmE33wPJrAfAFwwlVKBVuB3XdVvCnTgU9nPS6DEfY9S9kflRg2czVcOhNU8ga19VutcTmcTpOIh5mu54wsrtqACgvMtyYmzq9aVODGO7hxuwjJo+UzWE8A4/eyJlNf4cjsePPeO++SreD9l0vE+jx0FQwK7LcF0xdAz1X8PbGDNkKIGg85w6rxbAV5jgDERbNSqnHlFL7R4X6KQW+YDhprYBKt4M690rDDzowCCNyFJFspAdfgxlnU1lSSEOHF190WU0RWPlRus74OusqLoeTP2mkflbKqFr20MfZ7D6bvKv+CPMugcc+AwGv8fDFeVB5otwHY9RQPo9xLk4jvUOyUViR3Uq3PwhWBwRyo8iQca2ibtO6dTBpZd8ETMySlVFBTjElQrNJ8y4on5/9/Y5SKtz2SJbfdOlOonOP9UtnXjoDLvsVu12noF7+Ofi7k+5nUmEIx/o/8lfXDTGDoZyt0x6HLxAl1MQC4VBS436uMZBf99si8kcRuUZEruj9DFnPhpBU+s0qt4PDbd1wwgeM0XjUNi1d/oyKy/cmBTvSbgqL3f+GBZcZ7oYd3tgbpve4xQ4a271QvRRmvQPuvx5qX4Yr/2hEfAJULYYzvwDPfNt4sXu98PwPDUMfUeoSjOCxiDvumv8z1DUm3mBiNRSYA/TKRZF6wSNNjGDzdkC+E/KMetaRl8WiywdlZxpQ8raOI1BUaarxRscodqgpdzk41NJNfVsPE4uSlRQ1KIoa3HQliskoLKVnwnzaV34GXvxxZHG8g9Xyff/H2mk30NIdjkmfM1quifHsma/d0pnQsp8CmwVvFhNfDoSBPAMDERYfAZZjeEVdRp8qatSRKoDnhKkl3L+2DqafaYzsTT5+51p+/ewefv9Sek+hL92/ifaeADsbOo1kgT2t4CyL1K7wBUP9guJKC/P7UmsvfBe8904460tgjZveVy+DysUs3vIj5r76BUMNc+BVOPZ2zIjNmFmEoOuY4Q02+cTILnr8oYQG7r5jLM8Zu4U3KtUHe5+B2ecBcPGSaj511zpjeckUVPuhJHtIzlcfSm9yi8zWdj4eUUG9d+UU3rW8ZsDHG2u4HVYq3A7mVBZhi3drjSM68LTTF0g4WLtkSTW/3Fpgpuv5fX/73d5nKC12c/d+J3ZbHrc+tSviFWh4+OX+zMIbCPc9+1WLoWEzdlsevhFSQ33p/szjqgby6y5TSq1USn1YKfUR8/PRgXdv5DHSNyQehUwsslPushvab2cZdB3DGwgxr8rFFy6Ym9RjqRelFK/sPcrh1h7OmVdOXrDb8KmmLweONxDuN2U2fOT7S3l/MIzVEje8WvFB2k/4FK8u/I7hZ372V+GV20whaJxXJHbjlduMOJIoEo7sTESEcHmf8W2kiZmF7XsBZp4NGEFnM8udkTQKQWcVFSpBAGYKth7uIJhmptjU4aXSbYdDa2DySQCsmjWRFWbw23hGRPj0ObP5xFmz0raNtqF1+RKn5lg2pcRQx5z2GePZ++dN5IdMldSeZ2Dvs+Sf+3XmVrpwOax4A+HI82g8U6NgZhGIEmqVS6Bxa/9aKcPImtqWjLQlMDBh8cZQFBwaCdKlvC4utBk34exz4e1naWg3Ug5kkg6kvSdAU6eP3Y2dRnqFQ28aVczoy4HjTRLnkIimTm9CfXB+6RTaQ+bU3zkRKpdgP/AcLkefgbvoyKuQXwQTYx9mT5KRHUB5UT5HvUAoN9KVR6btoSCEQ4Zh0CQSoAd0Va1irm/LgPbde61S0djhYzaHjJKio7PUfE4QnXk1OiI+KYuvgNM+w1V1P4J/3QwHXoELfgB5FiaVFDDdLPfa+zwGw2Fs8YOqHMQbCPepgF2V4GkyDfjDHwgbCiuOtHvTPgO9DERYnAFsNEubjh7XWZP9R7sif3t8wUhyskRU95bvnHY61L5iphO3Z2Q4PdzWw8wyJ09tbzCERe0rxn5MfMEwrV3+hFPmcBh2NXSyt6mTw2097GroZHdjZ0J//iK7lcPRgXknf5yy/f+ksn0L1G+gfM99VBz8N97Tvkhzp48NB1sjfe/yh5Kef01JgZEC3Wo/bgN/NohM2w+9CVNOjlk3qaSAF3Y1s2Z/C695pzK5Z2eSvSSm2x9MG9zY1NHDkto74MSPDLTrmiiiPZo8SWYWRruoL2VzuG/Kf8M5X4PzboE845mpKSlg0oQCHLY8PL4gvmAIbyCc1Qj1ocBmyeNwW3eSYM7h73tTp3dAZZ0HEsVy0eC6lBv834tv8+MrlwKGP36iGIteqooLONLuZX6VG8Ihmto8VBYnztUfT1t3gA+cOo2JRfnMq3LBWw3gro6sP3NOGY9uqufEBGqM60+fzo+e3IE1zxiFvbznKBcsrIz0O5ryIjt1rd1m+m4L5Fl4df43OK/pXlBVuMpn8hvnf3Hptib+/Op+iuxWbnvvcmpKClBKJU1TccGiKm55bBur5yw2jNyTV2Z03kNFZNq+92nDUyyK1XMreHZnI3Wt3WB1M9uduZFQKUWBzZI6F1g4zNSNtxKed4Exe9McF73jrFQZauMJ5eUb8TRRnDGnDH8wjCB4vEGe39mcvNZFDvHelVO49H9e4Yvnz+tbmF8Evk5GYmZxpN3LsinFaUva9jKQmcVB4Ezgw6bLrAKyl5lsGEmXrjlavcHklYQPrc04WtcfCjNpQgHvXj4JW8gbozYBmFfl4minL+HoYkG1mykTCpnozKfTG6Sm2IE/FKbU2d/TJC9PWDKpJOZl1xa00nPal+HUT2GZdwGLJ5ew40gHuxs8nLegMqPpZqkz37B71CyPSaM8UvQm7KOzMUbogqEuvGLF5MjH6bBHorkz2W9pUX7qSO/X/4fdtgU4T3zv8ZyCJo7jzRDrdtgoK7KzsMZNly9IY4d3VLjNLqpxY7NIrAq6fJ7hkj0SM4sOL0snl2Q8sxjIL/wbYBVwjfm9E7g9efPcQqQvGC9dEFF1tLCYcwETj7yQssZuNP7oGIq6tyJG0V6K7FaOdfmTuq6Wu+yUOG2UFNpYNKmYkoLkydGMfDp9Fzr+Iaxw2dl6uAObRZg+0ZlZXW6MEaAqXwBN2zNqP5R4AyHc/gYonpS+ceViaNxqfkn98HX5glS6HMltUJ5maD3AxsJVOZtGYrTi8QUjtrXjoddo3tDhHRVusyJChcsRK9gqRs6ZpLHDx9LJQzOzOEUp9WnAC6CUagVSO1fnEC6HLVKprscfSjmyKSuy09ybSqN4EoW+pkhkdDr8wTD5vTfDgb6smL047VZauvxJb+4Kl90sYmNnUY07ZWGdCpc9RgDET+8rXHb2NnuYNKEgEkBlkPpF6rRb6Qpbs5Ly5HjxBkJUNb5s5PVKx6QTM85r5fEFqSxOISy23G/E2miyhsNmZJ6Nrnx4PPQKi7Zuf85UK0zHpJKCWBVwxfwRFBZe5la60np49jKQKxYQEQumck1EyoHcj1E3mTaxkG8+vJWvPbQ5bc2KaEP2vWsO0qgmQnv/JGeJCITCfT7n7YegZGrM+iK7leZOX1Kf8KkTC5lWWsjsiiJOnlGatK4xwJTSQv7yai17m4z0HPHRzlMnFlJSYOOsOeVUFxfwyMbDfO2hzSnLkoIxu2nq8ELhBOg6hlKKbz26lZeyrBc+1NLNl+/flNLI7AuEKW7dDJNWpN9h5eKo2VBqHbDHF6TKbQiLZ3c08tUHN/PrZ/ewtrbFyLl1ZCPUnJD5yWjSMn1iIf9Ye4gDx7qTGqMteRLnypl8YOMusPLGvmOEwooV00aHK/MJ00piFziKwdcxIn1p7fZTWphPU6cvo9nFQOaCvwYeBipE5AfAVcA3B9fN4ee6U6Zx3SnTBrzdxkNt/PjK62H3f+CkG9K2j8wsgn7I6//z2q1G0rBk6RFOm1Vm/lVpfk9+rLmVLj5z7my21bczu6IIiPU6mV/l5ukvnB35/o9Pruq3j0REkr5NPQ0Ovk73zIsIhRXP7GjkrLnlGe0jE3Y1dGK35bG5ri1pFTdvjweLzQ55GagZrPkRm0XvSydZsJjHawiLrfXtvLi7me++ezHffmwrz+5s4rzSo5RVLNCuslnm+tNncMVvXuXSpckDGsuLHBz19KX1TyX0C/OtnDy9lG31Hfz0qmVZ7u3Q8LWLk9VBH34Dt1KG7fN9J01hW317pCJhMtLOLETEauxY3Q3cDPwIOAK8Ryl1fxb6nPvUrIgYe/uPfGIxXlCSdGRq1NG2UVmcnWmzy26LqFKy9W6LRNtOPRUOvk6XL8jEInvaGclA8fiCzCovSmlgK2l6k/C0MzLfqdUOAS9FdltK43WXP0hJoY1AKEwgZAh4Z76V3Q2dFO58AJa+z2ypBUY2SRUQClBVbOdIhgZXMNxoHfm5b69IiaMYRzC7RdcGguE+m96emYkaak3vH0qpnUqp25VS/6uUyo0Q3yHCYbPQ3hPAkidgsQIKwuG0L6GIKqh+Q1LVyfSJhVmLNnXaLZGcO9nKnVdktxj2ncJS6G4ZspKVHl+Q2RVFNKSoqV199DWsc87LfKeVi6BpW/8U7f2O3f+lVV1SQF1jIyHPMXD3jn5zt2rgaMQbTB5jAYbbeu/goV/G4QRUlxSM/roi5fOo8I1cTtaEhakSkImwGJdDqxVTJ3DLY9siNY2N0PwtaV9C/l7VR9MOKE885bxsWfbyCkXn3MnaPu02/vDSPj537wYomYr/6L6MS1a+se8YH/nLGpo60998Hl+QyRMKae9JYkNSCouvg8LiAcQ4VC+D+o19ubGSHTuBr//SSW6+V3AfT08wZhWBUNgYLGiyRmG+NaVzSbQnoj8U5VmYhDkVRZw4SuwVSSkbfmERnaW3rMjerzZOIjKxWZSLyBeSrVRK3ZZxD0cRly2riX2pzzgL3n4Wp/3SlMIiEFSGzSIcMHToCfjI6TMSLh8M0amfs4XTbmFbfQdLJhfjnXEu9m3P4Jz0PqwWifX2SsCWunYW1rjZ39yVNm11dLnShDTvpNE+jRVpXhgxVCyCjX+nqPKCSP2EZMeOf2md1PksnHUJD+8znBKSFYnSDJ4iuyXNzKJvlBud6ywZNSUFSe1do4byuZR7/zysh2zs8FJphgNkmtI/k6fQAhQBriSf8UHFAmja2ZegLwn+UIh8FQDL8HgVF9iyWxUODDtIhdtOpdtBfeF87M1bcDmsVLocaWcMTZ1elkwqzmha2+lN42+/+z/sdJ+WfH0ibA4I+tIK0c6odO6AocPb/R9YFl19LUzBaNeH5xhFdmtKYeGyW+n0RhdJymxGO6opmIAjPLwFxxo7fFSmGczFk8nM4ohS6ruD69IYQgTyLLhsqq9ORAICIYW9bXdSFVT2u2UkIYupvnecOO0WyovshuGr008VNlzij0S2T56QPFVKpzfI7AoXz+1sTHucfoWN4mnaQZP9nIGfgMWGyxamPcV1ip5ZKAUc3WPYO6J+xFwv1TkacdqtKWcLsTmkhsZWlouIwnyGh0ft2djhTev9FI+2WQyESSdS7dnO3iYPoSRFQ/zBMPbmrUYRo2Gi2x+iyx+iwJadSOMihzUys2js8LLXeSKVR1/LyBAm0psuJbNocRHBmd83mozQWmvEqAzm4alYyMSefSlngEYJWguR23vPU5FaGb2MluprowmXw4orw9mCx5s6O/RYQlls+H3Dl7izsTf1vkm+JY/djak9sjJ5Es49zn6NHWacxbye9ew/2pU0QM0fCmNt3m4EiA0TUyYU8sz2RkoKszNlt1stfPbcOZGX/n0di5h0+Emq3faM8shEyrOmxRC4E4vsHIsPlNz+GCx89yB6D1Qvo7RteyRiP9mxe0dx+dY8aNgMVUtiWoyW6mujiY+cPiOjVB/hsKLLnzo79FiiwzGJwLHaYTteW3eA4qj3xftPnsofX05d2C2tsFBqgBVlxjKlM3B46njvyilJfcGVUkigC+xFw9at02eX8VZtS1YNffOr3FS5Hexr9jC9shTLvIuZ1PjsgHzg02O8rBN6mDVtN9RCg5nYVi7G2bYzjZeYsV9nvoU5+ccSzmIGUndEkxlzK11JMx73UurMp6XbbxQpGyczi47Cqahj6atwZgt/KHYgtKDazfffsyTFFgNL96EBsDqoKgwnVcfkqaBRiH0YqSlxsO5AKzUl2fU3L8i3sO9olyGEllxFwa5HUd2ZjR0Goj3q5/4bVe96UHEO+YXkK1/aQlVg6NBXdL4Ai6+MLFOm/jimqplm2OiNtUhWUW8s0uWcgjr29rAdzxcI9XNLTuXlCFpYDJypqyhr2ZDUL7nCW2t4Tg0jVcUOdjZ0UlOcfRfC1m4/NcUOI93GOd/klCN3sfVwe0bbZloMvl8Fwp2Pw4LLBtPdCFZbPt3e9LMgl8NKpa825po5bBb2H+0yapVr19lhp9rtYMPB1swq6o0RuoumIq21w3Y8f0gN2B6nhcVAmXEmlgMvJ30RTurZBdXLh7VLdquFxz9zBtMmJvdSGiy/+8CJnDO/wvhSNpuTJzt58Pk3E7b1BUORXEzOfCvdaV16jd+wyBEnLA6vN1KsAIP1r8grn0dZT23aY793Xj6llVNi1txwxgz+9sZBegIhCseJN04ucebcMt7Y30Jrd4DSwlGT2Pq4cDpdBHzdw3a8wXhe5bywEJFbROSwiGw0P5eMaIdcVeBpSrp6cvcOo3DQMLN4UvGQuN3NrXTF6DYnnPt5zm1LnBIsWm1QaLfSnWFkeW+qaQC6W6CgBPLyCIUVgw6grl7GpJ7daZu5D79I3twLYpZNKS2kJxCky5e8/Kxm6LBbLbjsVtq6A1lz2sh1yl12vFmOl8o2OS8sTH6hlFpufv410p3BUUxBMEFa4XAYq/L3q443piiZgjfPidr9n36romMXnPkWuvzpbv5eA3eUzWLfCzDrHUCv6+ogR/ZVS6jx7knf7tAbMOWUhKu6/ekjiDVDg8NmodsfzPm62tmiwmWnOyjDVkNmMD/raBEWucWsc1nY/Vb/kUDjVhocs0emT8PIW9M/jm/f6/DIp2HTfeA3ps/REdnONJHu0RTZrZFkiBx4DaYaqdR9wfDgDcx2F/mhNNP63hKslv6jV6WMmdJ40ZnnGrHFusY+5S47jXmVRg2cHGW0CIsbRWSziPxZREY+a9j0M1jg20RTfLbUrQ+yrfjMkenTMFLpLuTgCV/kTxNu4h87uuHRT8OB18yI215hYUkpLKJz0bgcNjp6hUWgO+J2fLwR1EryIJxidtOwBaqSB092+YMZV0jUZJf5VS6mTUxe+GusUe6yc1CqoGX43GcHSk4ICxF5RkS2Jvi8G/gtMAtYjlFH4+dJ9vEJEVkrImubm7Nb0a0fNgd2i6Kzq6tvmbcDelpoy68e2mPnAJHI7mNeNuSfCFf+Edb8gZbWlkht88J8K90p1FBGRlFjLlyQbzFmaR31UanBjz+Cutk+FY7tTd6gbi1MOTnhKofNwlGPD6fODTUivGN+JT+6IrXf/1jCbrXQaJ0Ew+g+O1ByQlgopc5TSi1O8HlUKdWolAoppcLAH4CET7dS6vdKqZVKqZXl5dmr5paMlqozsb0dpbd/4zdw0seH/Li5QKXbTqM5qxIRQuTB6TdRvvVPkXwzMUbrBHgDYexRswYRoO4tmHxyTJvjmVnUF8yFI5uSN2jcamSpTUC5y4hWtw4k461Gcxy02Gugdf9IdyMpOf8kiEj0UP1yYOtI9SWathkX4zz0Ijz2GVj7Z+hqHtZ8UCNJpdtBQ3sPIEx05nPM44Oa5dg6aqksNG6pwnxLypQfvmAIR/ysoe4tmLwyps3xzCwaCucSrt+YvEE4ZBa26k+Fy07TONKZa0aeQF6BoYbNUXJeWAA/FZEtIrIZOAf4/Eh3CMDlsLN26S1wyc9hwgy44Psj3aVho9xlZ/uRDsqK8qlw2TnUaiRA21x4Ku5DzwC9Hk7J1VC+uJkFgOpuNarzmRzvzMLqnECwq63f8lBYURw8CkUVSbetcDto6RoezxSNJpu0dwdozKBEwEDJeWGhlPqgUmqJUmqpUupdSqkjI90noK8SmzUfZp0ztt1l43DYLBxq6aHC7WD1vAr++notADtcZyB7DWHhLrDR1pO8+FC88XqiQ/CpvJRtBkpRvhW/AkKxMxx/MMzc7g1GQaskLJ9cwn9fOryR+BoNedY+L71B8oV/bOSrD27mwLGu9I0HQM4Li1zFiDo+vos6mgmEwlS5HUwpLaTAfKGH8mwQDkM4nLZUozFr6Lv95ssBWlzzYtp0+tIUR0qD026ls2wFHHw9Zrk/GGZ69xaYemrSbYsLbVx+wuRBH1ujGRQlU6Ht4KA3V0pR4bbznhMmcbgtecpzSzjQbxCVDi0sBslQlDMdTVS4HVRFFU+JFF+qXARN27DkScrcUN5gbN6l2T1bOFQU6/2SqPTpQChyWGmsOQ823ROz3BcIYmeMB09qRicVi4yMy4OkoyeI22EzCpelyBC9vO2pfoOodGhhMUhiAslMjJfj+Ig4rXTZqSw23GQnFuWz4VCbEZMw82zY92La7Q2bRd/tV97zNk81l8UUQUpbozsNRXYr7TiN2iJ7noksDzduo7Vo7qD3q9EMBSJCuGIhNAzeh6fBrIBXXVyQslDZjK6NMG1gJYu1sBgkhfkWegJxuvBQmjKhY4jPnz+X8iJDWFx3yjR+/OROo/JW+QJo3pF2e28gamYR6KHE7aLC7eDJLQ2RNp3e4xcWHm8QTvkkbPxbRBdse/sp6ivPHvR+NZqhoKTARqulDDoOD3ofDR1eqoodVLjtNCaZWQQ9LfgtRUYm6QEwPt5sQ0CinDX+UBibZXzMLGpKCiK/QU1JAcc8PiPGIi/PSOiqjBTIyZKjxRQWevs5LDPP4pIl1TR19t3gXb7jK34TSTmSZ4El74WtDwFgObYbr3vGoPer0QwFlW4HjZ3H54HX2G6US3XYLPhD4YRtQjseZ29pcueOZGhhkUX8wXDaAiJjFXeBjQqXacMomw3H9lLhdvRPiWISY+De+S+Ydwnlrth8QF3+EIXH4Q3lclj7SqvOvcios73/ZTwTl4ybGaBm9FDpttPY6YV8J/g8g9pHrxoqJftfpmHCiQPet35iskggFCbfMj7TQ5QX2fsKwE89DQ68ZhjZkuhNI26xAa8RGGc1RkO+YPRoSKUtwZmKmGSGeXlGTe+Nf+fw7GsHn81WoxkijMGVFyoWQlN6VW4imjq9fYO2RBzdQ8A9FZtt4HVCtLDIIr7A+J1ZLJlU3DeiqVkO9RsiOaQSEcn7dPD1SJZZMNxlv/bQZr720BbUICqqRlOUH5f5duG74PLf4lPWcXudNLlLldthpNGpXGykoonilse20d6d3lU/GFKRe9ual4c/GKeKWn8nbQveP6jBkn5iskizxxdJpDfe+My5c/rcXK12CAUoLrDR4U18gxvpxy3w9nOR+hUAt1+7gh9dsZQCm4We4ywG47RbEuan8gXHjyOCZvRQ7rIbNruK+THus75giHvWHGRv88BUU5Vue4wNEH8X9LTS46ga1GBJPzFZ5Ei7Nyb2YFzjqsQdPJo0TbkvEMJuFaPqYIK0G0V2Sz/X5IFitRjV9vodOxjSMwtNzmHrvV/znTE5ohrbfayYOiFl3EQiqooLYrfZ+iAsuXrQgyX9xGSRhvYeqoq1sABg6ipKjq5L+sL3BsMUHt0Mk1YkXF/ksMbZL7KHPxjWNgtN7mPqYQ+39bBiWglH2pNHZCcixmaoFOx/CWacrYXFSGC3WmJcQxvafVpY9DL5JAob1yWNcvcGQhTs+adhdE6A026lcIhqSfjGsdeaZpTgqoZOI+bo/rWHeMf8ykHMLKKiuA+vg0kngsigZ9b6iTkO4l09u/3HF0Q2pigowepvT2p3CAaD5HU3g6sq4foiu/W4Yix6SWQk92ubhSZHERFDFVU2D47uAiDfmseJ0ybQlSLlfyJihMXGu2HZNUCvzU4buIeV8iJd8yAVMmEGpb66hOumdG9HJp+UdNsiuzUrglcktoQrHH+dDI1mqIgk4CyfB827Y9YN1DuwyG41BEx3C4gFCkoAc7A0iNr2+ok5Dsrddpo7BzY1HFfMvZD5na8lXLWo/UVY8K6km2ZLWMQE5pmMZxdnTW5jVKH0QtkcOLYnOzvd/ggsvjLy1RcMYx9EBUj9xBwH5UV23m42csaHwiphCpBxTfUyanp291/u76Iw1JGy+JDTbj2ujLO9VPYGOkUfPqQN3JrcpNJlxlrYCiDoJRgKYzEDU0VImck5fgYd4eCbMOWUyFc9sxgB5la6WLO/BaUURz0+yosGHhU5phHBa3FB17G+ZaEA/OfrvFZ2VcpNZ1cU8e7lNcfdhYreQKcoevyhmFoaGk2uUFqUT0uXeb8qRZc3ELHdTXTaOZaiemMwrLDG5aZzBY6inOVGBgMTIyBW2yyGlXxrHgtr3LR2B4wYi2JdHyGetRMugTd/Z3wJ+oya5cuv40jBnJTbOWwWJk8oPO7jV7rs/aLIu/whnPnaEUGTe7ii6+RMnE1Pw06KzHs1xmCdgJhMziYnd79Mx8x39m+nZxbDT01JAfVtPTS0e6nWbrP9aCiYDSoEr/4aHvo4nPwJmHLysB2/MsHM4nhzTmk0Q0VMPrPJJ6Hq1kXUsdXFjpSxFv1q1ivFTN8O6p0LY9ppb6gRYlKJg0c2HObp7Y3psz2OU9TqrxslTK/4Q9IgvKGiwt1/ZqHR5CpOu7UvRU3NcixH1kfUUFXFyRNzQoIZw4HX6Kk+hbUHWmPaGWpYLSyGnTPnlHPR4iquO3UqC6pdI92dnMNuteALizGbsEbnzRqekX1hvjVpTQ2NJtcoip5Z5DsJ+7sjXoGpEnOC4RIeIwS2/IM5532Ut2pjhYU3EKJgEAGvWnF7nNgseaycXjrS3chZepP5DWYko9GMNyx5QjjKq8ljLWVCuBWoprQwn5YUBm5vIIy99znzdkCejXxncb9MCN5gCIeO4NbkGkV2W9JkghqNJjWHS1ZSeWwNAHl5kjIwzzBwm6/0Xf+C+ZcAhiOOL9g3uw6FFVYdZ6HJNYoSpAk3/MGPs1jFAEgUxa3RjAZqnUuZcHRdRm1jDNz7X4bpRunU8qLYtESDRQsLzZBS5LD2yzxr1CofvluvpDCfVrNwjBYamtFEe9BGvsrMQSNSfdLfDdZ8owIlsLDGzbcf3UZb9/HV99bCQjOkOPOt/RKgRQofDRM1xQ7q2wyXw2NdfkqdOnhSMzro8gWxlE6H1lrAsJFGq5Si8QZNb6j9L8KMsyPLz11QybkLKqk9ZtTIGOx4SQsLzZBS5LDSGTeziNGtDgPVxQURYXGkzUtNiQ6e1OQuljwhEDJquXh8QayzVxu1KDCr3/WLGzKIqKHiqk8CVBUfvwu5FhaaIcVwBYwdCfmivTaGgZqSAo6Yka+H23qo0ZH2mhymwuWIZLMOhRXWKSdB3dp+6+LxBkI4LHng84DDHbMu2u12sCnstLDQDClGkFFsHe6IbnWYmDaxkC2H2/naQ5t5ansDC6rd6TfSaEaIKndcWg9rPoSDEA5T4bb3S4zZizcQoqRlI9Sc0G9dZdQ+B6uG0nEWmiElJteNiTcwvMWHnHYrt169bNiOp9EcD5XFCYLvqpfDkQ1Uuufw5r5jCbfzBcMUH/gPnPO5futKC/NpHQsGbhG5WkS2iUhYRFbGrfuaiOwVkV0icuFI9VEzOJz2/t5Q/SJNNRpNhH4zC4B5F8GufxvqpCRqKJ/fh817FFyV/dali9HIhJwQFsBW4ArgpeiFIrIQeD+wCLgI+I2I6LfMKKIw39KvtKphiMuVW0+jyS2qTPtCTI2ckqnQXseEQltSF9iZjU+h5r0z4bpelFKj22ahlNqhlNqVYNW7gXuVUj6l1H5gLzB8KUs1x41xs8cOaRKlUtZoNAbuAitvN3dx1OOj1GmLWlGNdNQnniGEw8xqeQnLwuTCIqwUda09gy78lRPCIgWTgENR3+vMZf0QkU+IyFoRWdvc3DwsndMMDq9WQ2k0SRERFla7eHnPUSpcUZms578Tdvwz8Ua7nmBb0enkW5Oboa89ZRp/emV/v1xRmTJswkJEnhGRrQk+7061WYJlCTVvSqnfK6VWKqVWlpeXZ6fTmqwQPxLSaiiNJjULa9xsq2+nwhWVqblmBdRv6K9GUgq2PsSWCe9IWdp5QbWL2mNdgy5XPGzeUEqp8waxWR0wJer7ZKA+Oz3SjBSDLeuo0YwXyl0OttV38M4l1X0LRaB4EhXHGvAGFvXNzt9+FmaeTfhA6te53WqhrTuAM9dnFoPkMeD9ImIXkRnAHGDNCPdJM0DyrXkxNSWMdB+5futpNCNHhcvO9vqOWDUUwInXs7rjsb7EgOEwbLgbll2T0X67fMFBzyxy4okVkctFpA5YBTwhIv8BUEptA/4BbAf+DXxaKaUr2Ywy5lW5eGj94cj3Hr+ub6HRpKLcZaesKJ8Ktz12RclUXBY/LYf3GN83/R0WviuusFhy5la5Bp3uJieEhVLqYaXUZKWUXSlVqZS6MGrdD5RSs5RS85RST45kPzWD47pTprG5ri3yvanT1/8h0Gg0ERw2Cy98+ZyEg6qmk26m4vXvw/M/hKO7YeF7Mt7v7deu4PTZZYPqk47g1gw7/kEWjNdoNFBWXskzs77KB5e4oWzOsB03J2YWGo1Go8mMSreDQ77CGEFh1GkZ2rr2emahGRbmVbl4YF0da2tbmDbROdLd0WhGLW6HlU5vfHLOoc+3pmcWmmHhfSdNYevhdgD+3+pZI9wbjWb0kiiWwhsIUTBIl9hM0cJCMywU5lvx+IJY8oZ2qqzRjEe8waFPoaOFhWbYOObxUVakvaA0mmwQXU9+OLIiaGGhGTbaewLaZVajyQLuAhvtPX12C18wNOQ2C23g1gwb375sEZMm6JKmGs3xMtGZz7EuPyWF+UBU/e0hRAsLzbCxbErJSHdBoxkTOO1Wunx9RcWGo1SxVkNpNBrNKKPIbjiM9GIIC22z0Gg0Gk0URXHlin3DkBVBCwuNRqMZZTjtVrr8sTMLu55ZaDQajSaafjOLYTBwa2Gh0Wg0owzDZhFdI0YH5Wk0Go0mjv7eUGGthtJoNBpNLC6HlY6oZILadVaj0Wg0/XDYLPiD4ch3jz9IUf7Qhs1pYaHRaDSjHKO2tp5ZaDQajSYFoTBYLdpmodFoNJo4RIRwuDfzrErZNhtoYaHRaDSjkLKifI52+YbteFpYaDQazSik0u2gsV0LC41Go9GkoMrtoKHDO2zH08JCo9FoRiFVxQ7WH2wdtuNpYaHRaDSjkIXVbvY3dxEKK0SGvra9FhYajUYzCsnLE2aUO9nV0En5MNS218JCo9FoRik1JQWsPdDCpJKhL1eshYVGo9GMUqZMKOD+tXVMHoba9qLU0AdzDDci0gwciFtcBhwdge4MJfqcRg9j8bz0OY0OBnJO05RS5YlWjElhkQgRWauUWjnS/cgm+pxGD2PxvPQ5jQ6ydU5aDaXRaDSatGhhodFoNJq0jCdh8fuR7sAQoM9p9DAWz0uf0+ggK+c0bmwWGo1Goxk842lmodFoNJpBooWFRqPRaNIy5oWFiFwkIrtEZK+IfHWk+5MtRKRWRLaIyEYRWTvS/RkMIvJnEWkSka1Ry0pF5GkR2WP+P2Ek+zhQkpzTLSJy2LxWG0XkkpHs40ARkSki8ryI7BCRbSJyk7l8tF+rZOc1aq+XiDhEZI2IbDLP6Tvm8uO+VmPaZiEiFmA3cD5QB7wFXKOU2j6iHcsCIlILrFRKjdoAIhE5C/AAf1VKLTaX/RRoUUr92BTuE5RSXxnJfg6EJOd0C+BRSt06kn0bLCJSDVQrpdaLiAtYB7wHuJ7Rfa2Sndd7GaXXS4yMgk6llEdEbMArwE3AFRzntRrrM4uTgb1KqX1KKT9wL/DuEe6TxkQp9RLQErf43cCd5t93Yjy8o4Yk5zSqUUodUUqtN//uBHYAkxj91yrZeY1alIHH/GozP4osXKuxLiwmAYeivtcxym+GKBTwlIisE5FPjHRnskilUuoIGA8zUDHC/ckWN4rIZlNNNarUNdGIyHTgBOBNxtC1ijsvGMXXS0QsIrIRaAKeVkpl5VqNdWGRKMn7WNG7na6UWgFcDHzaVH9ocpPfArOA5cAR4Ocj2ptBIiJFwIPA55RSHSPdn2yR4LxG9fVSSoWUUsuBycDJIrI4G/sd68KiDpgS9X0yUD9CfckqSql68/8m4GEMldtYoNHUJffqlJtGuD/HjVKq0XyAw8AfGIXXytR/PwjcrZR6yFw86q9VovMaC9cLQCnVBrwAXEQWrtVYFxZvAXNEZIaI5APvBx4b4T4dNyLiNA1yiIgTuADYmnqrUcNjwIfNvz8MPDqCfckKvQ+pyeWMsmtlGk3/BOxQSt0WtWpUX6tk5zWar5eIlItIifl3AXAesJMsXKsx7Q0FYLq9/RKwAH9WSv1gZHt0/IjITIzZBIAV+PtoPC8RuQdYjZFCuRH4NvAI8A9gKnAQuFopNWoMxknOaTWGSkMBtcAne/XHowEROQN4GdgChM3FX8fQ74/ma5XsvK5hlF4vEVmKYcC2YEwG/qGU+q6ITOQ4r9WYFxYajUajOX7GuhpKo9FoNFlACwuNRqPRpEULC41Go9GkRQsLjUaj0aRFCwuNRqPRpEULi3GMiEyMyqzZEJVp0yMivxnGflwvIv87XMeLOu5qEXk8ybp7zHQPnx/iPnjSt8poP2eJyHoRCYrIVRm0LxSRJ0Rkp5md9MdR6+wicp8YmZrfNFNh9K77t4i0xf9uInKj2V6JSFmK454gIn9Msq421bYDRUTuFZE52drfeEcLi3GMUuqYUmq5mRrgd8AvzO9FSqn/GuHujRgiUgWcppRaqpT6Rdw66wh1Kx0HMbLA/n0A29yqlJqPkRPpdBG52Fx+A9CqlJoN/AL4SdQ2PwM+mGBfr2IEgB1Ic8yvA/8zgD4eD78Fbh6mY415tLDQ9CN6xG3m9r9TRJ4yR35XiMhPxail8W8zXQIicqKIvGgmNvxPXBRs737LReRBEXnL/JyeoM1l5mh2g4g8IyKVUf24S0SeEyMn/8fN5dUi8pI5I9oqImeayy8QkdfN0fb9Zv6f3vomO0XkFYy0zYl4Cqgw93mmiLwgIj8UkReBm0TkXLN/W8RINGc3911rtntdRNaKyArzt3hbRD6V5jcvEpFnzf5uEZF3m8uni1Fv4Q/mDOApMSJzY1BK1SqlNtMXXJYSpVS3Uup5828/sB4jHQ7EZih9ADhXRMRs+yzQmWB/G5RStWnO0QUsVUptMr9PNM9ng4j8H1G53ETkEfNe2iZmokwRuUFEfhHV5uMicpsYGQ2eEKOGw1YReZ/Z5GXgvBwW8KMLpZT+6A/ALcCXzL9XA49HLX8FI9XxMqAbuNhc9zBGqmMb8BpQbi5/H0a0fPwx/g6cYf49FSPNAhgj4v81/55AX7Dox4CfR/VjE1CAER19CKgBvgh8w2xjAVzm+pcw8voDfAX4FuAwt5uD8WL6R+95xvVzOrA16vsLwG/Mv3v3Mdf8/leMBHRgRPv+P/PvXwCbzf6UA01JfneP+b8VcJt/lwF7zT5OB4LAcnPdP4APpLiOdwBXDfDalwD7gJnm963A5Kj1bwNlUd8j90eCfdVGt41bdw7wYNT3XwPfMv9+J0bEdJn5vdT8v8Dsz0TAafbFZq57DVgCXAn8IWq/xVF/Pw2cONLP11j4aImryYQnlVIBEdmC8UL+t7l8C8bLbB6wGHjaHIBaMLJ1xnMesNBsA+A2R5vRTAbuM2cm+cD+qHWPKqV6gB4ReR4jwdtbwJ/NGc4jSqmNInI2sBB41TxWPvA6MB/Yr5TaAyAifwMyTe9+n/n/PHMfu83vdwKfxkgpA325x7YARcqok9ApIl4RKVFGcrdECPBDMbIHhzFS6Vea6/YrpTaaf6/D+M2zgjnqvgf4tVJqX1Rf4slGqodqoDnq+1mYszul1BMi0hq17rMicrn59xRgjlLqDRF5DrhURHZgCI0tIuIDbhWRn2AIsZej9tOEMahYl4X+j2u0sNBkgg9AKRUWkYAyh2wYLzUrxstlm1JqVZr95AGrzBd+hCjhAYY++zal1GMishpjRtFL/AtLKaVeMl+w7wTuEpGfAa0YefyviTvO8gT7yJSu3t2kaecz/w9H/d37PdXzdh3GDOREUzDXYsxiovcJEMIYbWeL3wN7lFK/jFrWm625zhQmxWSnoFMPfefUS7/rYV738zDulW4ReSFquz9i2D12An8BUErtFpETgUuAH4nIU0qp75rtHeZxNceJtllossEuoFxEVoGR9llEFiVo9xRwY+8X8+UdTzFw2Pz7w3Hr3i1GjeGJGKqQt0RkGoaK5w8YGURXAG9gGGxnm8cpFJG5GC+YGSIyy9zfNQycncD03n1jGHtfHMR+4inGOI+AiJwDTMvCPgEQkZ1Jln/fPO7n4lZFZyi9CnguaoBwPOwAZkd9fwlDSCKGcb23yFAxhoG9W0TmA6f2bqCMQj5TgGsxZkSISA3QrZT6G3Arxj3Qy1xgWxb6Pu7RwkJz3CjDQHoV8BMR2QRsBE5L0PSzwEoxXFK3A4mMvrcA94vIy0B8ffE1wBMYwuB7yqjpsRrYKCIbMHTXv1JKNWPYQe4Rkc1m+/lKKS+G2ukJ08CdznMn0bl6gY+YfezNVvq7ge4HIiqg3lnD3Ri/zVqMF2jCF3yKfZ0kInXA1cD/icg2c3kZCWZDIjIZ+AaGum69acz/mLn6T8BEEdkLfAH4atR2LwP3Yxi960TkQnP5Z83jTwY2SwL3WKXUTqA4SvX4HeAsEVmPkWb/oLn834DVvHbfw7h+0fwDeFUp1au2WgKsEaM63DeA75t9qgR61CjJGJvr6KyzmlGBiNyCYQy+daT7ki1EZBmGYXbIiuuIyKUYhutfD9UxBoIYcSudSqmEsRYZ7uNxDDfvZzM4VodS6k+DPZamDz2z0GhGANOV9h7gm0N5HKXU47kiKEx+S6wNJmNEpEREdmPMFlIKCpM2+lyANceJnlloNBqNJi16ZqHRaDSatGhhodFoNJq0aGGh0Wg0mrRoYaHRaDSatGhhodFoNJq0/H/jPRe48ag6gAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fDelay = (coeff24hMA.size-1)/2;\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days-fDelay/24,avg24hTempC,linewidth=0.6,label='24 Hour Average')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7946b05",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>提取平均差值</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f40ceff5",
   "metadata": {},
   "source": [
    "也可以使用移动平均滤波器来更好地估计一天中的时间如何影响整体温度。为此，首先从每小时的温度测量值中减去平滑处理后的数据。然后，将差值数据按天数分段连接，取一月中所有31天的平均值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "0231b849",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "deltaTempC = tempC['tempC'].flatten() - avg24hTempC;\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(np.arange(24)+1,np.mean(deltaTempC.reshape(31,24),0))\n",
    "ax.set_title('Mean temperature differential from 24 hour average')\n",
    "ax.set_xlabel('Hour of day (since midnight)')\n",
    "ax.set_ylabel('Temperature difference ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e86da94",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>提取峰值包络</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53057c09",
   "metadata": {},
   "source": [
    "温度信号的高低每天都有变化，有时也希望对这种变化有平滑变化估计。为此，可以使用**signal.find_peaks**函数来连接在24小时内的某个时段检测到的极高值和极低值。在此示例中，确保在每个极高值和极低值之间有至少16个小时。还可以通过取两个极端点之间的平均值来了解高点和低点的趋势。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a6dffb0f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import interpolate\n",
    "envHigh_index,_ = signal.find_peaks(tempC['tempC'].flatten(),distance=16)\n",
    "envHigh = (interpolate.UnivariateSpline(days[envHigh_index],\n",
    "         tempC['tempC'][envHigh_index].flatten(),s=0))\n",
    "envLow_index,_ = signal.find_peaks(-tempC['tempC'].flatten(),distance=16)\n",
    "envLow = (interpolate.UnivariateSpline(days[envLow_index],\n",
    "         tempC['tempC'][envLow_index].flatten(),s=0))\n",
    "envMean = (envHigh(days)+envLow(days))/2;\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days,envHigh(days),linewidth=0.6,label='High')\n",
    "ax.plot(days,envMean,linewidth=0.6,label='Mean')\n",
    "ax.plot(days,envLow(days),linewidth=0.6,label='Low')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8157cdad",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>加权移动平均滤波器</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba2153f9",
   "metadata": {},
   "source": [
    "其他类型的移动平均滤波器并不对每个采样进行同等加权。另一种常见滤波器遵循$[1/2,1/2]^n$的二项式展开。对于大的$n$值，这种类型的滤波器逼近正态曲线。对于小的$n$值，这种滤波器适合滤除高频噪声。要找到二项式滤波器的系数，请对$[1/2,1/2]$进行自身卷积，然后用$[1/2,1/2]$与输出以迭代方式进行指定次数的卷积。在此示例中，总共使用五次迭代。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "575869a2",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h = np.array([1/2,1/2])\n",
    "binomialCoeff = signal.convolve(h,h)\n",
    "for n in range(4):\n",
    "    binomialCoeff = signal.convolve(binomialCoeff,h)\n",
    "fDelay = (len(binomialCoeff)-1)/2\n",
    "zi = signal.lfilter_zi(binomialCoeff,1)*0\n",
    "binomialMA,_ = signal.lfilter(binomialCoeff,1,tempC['tempC'].flatten(),zi=zi)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days-fDelay/24,binomialMA,linewidth=0.6,label='Binomial Weighted Average')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7cf6107a",
   "metadata": {},
   "source": [
    "另一种有点类似高斯展开滤波器的滤波器是指数移动平均滤波器。这种类型的加权移动平均滤波器易于构造，并且不需要大的窗大小。可以通过介于0和1之间的$\\alpha$参数来调整指数加权移动平均滤波器。$\\alpha$值越高，平滑度越低。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "4505d192",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha = 0.45\n",
    "zi = signal.lfilter_zi(np.array([alpha]),np.array([1,alpha-1]))*0\n",
    "exponentialMA,_ = (signal.lfilter(np.array([alpha]),np.array([1,alpha-1]),\n",
    "                   tempC['tempC'].flatten(),zi=zi))\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days-fDelay/24,binomialMA,linewidth=0.6,label='Binomial Weighted Average')\n",
    "ax.plot(days-1/24,exponentialMA,linewidth=0.6,label='Exponential Weighted Average')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6185f796",
   "metadata": {},
   "source": [
    "放大一天的读数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "e198f3d3",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-5.0, 2.0)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days-fDelay/24,binomialMA,linewidth=0.6,label='Binomial Weighted Average')\n",
    "ax.plot(days-1/24,exponentialMA,linewidth=0.6,label='Exponential Weighted Average')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.set_xlim([3,4])\n",
    "ax.set_ylim([-5,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89efe578",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3 >Savitzky-Golay 滤波器</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef942090",
   "metadata": {},
   "source": [
    "可以看到通过平滑处理数据，极值得到一定程度的削减。为了更紧密地跟踪信号，可以使用加权移动平均滤波器，该滤波器尝试以最小二乘方式对指定数量的采样进行指定阶数的多项式拟合。为了方便起见，可以使用函数**signal.savgol_filter**来实现**Savitzky-Golay**平滑滤波器。要使用**signal.savgol_filter**，请指定一个奇数长度段的数据和严格小于该段长度的多项式阶。**signal.savgol_filter**函数在内部计算平滑多项式系数，执行延迟对齐，并处理数据记录开始和结束位置的瞬变效应。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "a9ea4a0a",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-5.0, 2.0)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cubicMA = signal.savgol_filter(tempC['tempC'].flatten(),7,3)\n",
    "quarticMA = signal.savgol_filter(tempC['tempC'].flatten(),7,4)\n",
    "quinticMA = signal.savgol_filter(tempC['tempC'].flatten(),9,5)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(days,tempC['tempC'],linewidth=0.6,label='Hourly Temp')\n",
    "ax.plot(days,cubicMA,linewidth=0.6,label='Cubic-Weighted MA')\n",
    "ax.plot(days,quarticMA,linewidth=0.6,label='Quartic-Weighted MA')\n",
    "ax.plot(days,quinticMA,linewidth=0.6,label='Quintic-Weighted MA')\n",
    "ax.legend()\n",
    "ax.set_title('Logan Airport Dry Bulb Temperature (source: NOAA)')\n",
    "ax.set_xlabel('Time elapsed from Jan 1, 2011 (days)')\n",
    "ax.set_ylabel('Temp ($ ^\\circ $C)')\n",
    "ax.autoscale(tight=True)\n",
    "ax.set_xlim([3,5])\n",
    "ax.set_ylim([-5,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddd6edce",
   "metadata": {},
   "source": [
    "### - <font color  =DarkOrChid size=3 >示例2：如何从开环电压测量中去除不需要的线路噪声</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "830cf5a6",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>重采样</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8eefb05d",
   "metadata": {},
   "source": [
    "有时为了正确应用移动平均值，需要对信号进行重采样。在本示例中某模拟仪器输入端其存在$60 Hz$交流电源线噪声的干扰，我们以$1 kHz$采样率对开环电压进行采样。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "217ee2b2",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "openLoopVoltage = loadmat(\"openloop60hertz.mat\")\n",
    "fs = 1000\n",
    "t = np.arange(openLoopVoltage['openLoopVoltage'].size)/fs\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(t,openLoopVoltage['openLoopVoltage'],linewidth=0.6)\n",
    "ax.set_ylabel('Voltage (V)')\n",
    "ax.set_xlabel('Time (s)')\n",
    "ax.set_title('Open-loop Voltage Measurement')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d38f54bd",
   "metadata": {},
   "source": [
    "现在我们尝试通过使用移动平均滤波器来去除交流电噪声干扰的影响。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "925a66b0",
   "metadata": {},
   "source": [
    "如果构造一个均匀加权的移动平均滤波器，它将去除相对于滤波器持续时间而言具有周期性的任何分量。以$1000 Hz$采样时，在$60 Hz$的完整周期内，大约有$1000/60=16.667$个采样。尝试“向上舍入”并使用一个 17 点滤波器。这将在$1000 Hz/17=58.82Hz$的基频下为我们提供最大滤波效果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "8ff720d6",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEWCAYAAAB42tAoAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAA+mUlEQVR4nO3deXwU9fnA8c+Ti0C47/s+5EpC5FQQ5VBE0YrKUe+2UvVXj2qt1FZBtLWKrVVraxVvKXJ4VsUDBQVRJGA45JBwh3CEADnInTy/P2YSl5BjgU02u3ner9e+2Jn5zsyzk2Gf/X6/M98RVcUYY4wpT4i/AzDGGFOzWaIwxhhTIUsUxhhjKmSJwhhjTIUsURhjjKmQJQpjjDEVskRh/EJEZorIG/6Ow1uBFq8xvmSJohYRkRtFZIOIZInIARH5t4g09ndc1UFEIkXkmIiMKmPZkyKy6BS21VlEVETCfBul1/tXETnouX8RCRORQyJiN0aVwz1u3f0dRyCyRFFLiMg9wGPAvUAjYCjQCfhMRCL8GVt1UNUcYD5wved8EQkFpgKv+iOuM3AMuNhjejxw1D+hlM1fidT4niWKWkBEGgIPAber6seqmq+qu4BJOMniWrfcTBFZJCLzRSRDRNaKSIzHdtqKyFsikiIiO0XkDo9lM0VkgYi85q77g4gMPIUYL3PXOSYiy0Skt8ey3u68Y26ZyzyWvSIiz4nIZ+5+vxSRTuXs5lXgShGp5zHvIpz/B4vdz/e+iBwRkUQRubmc7Xzl/ntMRDJFZJiIdBORL0QkVUQOi8hcz9qaiMSJyPdujAvdY/yIx/JLRSTB/YwrRSS6kkP2OicmveuB1zwLiEgjEXlRRPaLyD4RecRNjHgR733uOhkislVERrvzXykV9/kikuQxvctddz1w3K3pDHU/0zERWSci53uUX+bGtdI9lv8TkWZuPOkislpEOnuUP8v9Wx9x45rksewVEXlWRD50414lIt3cZcV/s3XufiZXcnyNJ1W1V5C/gHFAARBWxrJXgXnu+5lAPnAVEA78Dtjpvg8B1gAPAhFAV2AHcJHHujk4v2xDgUeBbyuIaSbwhvu+J3AcGOvu6/dAorufcPf9/e70KCAD6OWu+4o7fR5QB3gKWFHBfn8ErvWYngf8w33/JfAvIBKIBVKA0WXE2xlQz+MJdHfjrwO0wEkmxduNAHYDd7qfZyKQBzziLo8DDgFD3GN3A7ALqFPOZ1CgH3AQaOy+Drrz1KPcu8B/gCigJfAd8Gsv4u0F7AXaenzebh7H+xGPfZwPJHlM7wISgA5AXaAdkIpzXoS4+0wFWrjll7l/3244Nd1N7t9oDBCGk/xedstGuXHd5C6LAw4DfT1iOwIMdpfPBd4sddy6+/v/YyC+rEZROzQHDqtqQRnL9rvLi61R1UWqmg/8HedLcygwCOc/9yxVzVPVHcALwBSPdVeo6keqWojzizcG70wGPlTVz9z9PoHzJXOOu+/6wF/d/X4BfIDTXFTsQ1X9SlVzgT8Cw0SkQzn7eg33l7hb07oceNUtPxy4T1VzVDUBmANc580HUNVEN/5cVU3BOXYj3cVDcb64nlanNvc2zpd2sZuB/6jqKlUtVNVXgVx3vfLkAP/DOXZTgPfdebifrRVO09RdqnpcVQ8BT7plK4u3ECeB9BGRcFXdparbvTkOrqdVda+qZuPUVj9yz4siVf0MiMdJHMVeVtXtqpoGLAa2q+oS93xdCAxwy10K7FLVl1W1QFXXAm/h/LAp9raqfueuOxcn4ZszZG2ItcNhoLmIhJWRLNq4y4vtLX6jqkVus0JbnF9jbUXkmEfZUGC5x/QBj/dZQKTbTj0Z55ctwHJV9Wxbx93+7lL73Yvza7QA2KuqRR7ld7vLyoo5U0SOuNvcy8leA2aISDucZqdEVf1eRIYAR1Q1o9R+vGo+E5GWwNPACKABzq/n4j6DtsA+VfXsaPaMrRNwg4jc7jEvwl2vIq/h1NwEuK/Usk44tZf9IlI8L6R4vxXFq6qJInIXTi2qr4h8AtytqsmVxFPeZ7taRCZ4zAsHlnpMH/R4n13GdH2PbQ0pdQ6G4fwoKVb6HKyPOWNWo6gdvsH5hTrRc6aIROH86vzcY3YHj+UhQHsgGec//05VbezxaqCqnr8My6Sqc1W1vvsqnSRwt1/SryDON1sHYJ+7rIMbS7GO7rKyYq4PNHXXKyuWPTjJ7Rqc2kJxu34y0FREGlSwn5LNlDHvUXd+tKo2xPklXfwNvR9oJx7f2J4x4xzbP5c6tvVUdV5Zn8HDcpxE3wpYUWrZXpy/eXOPbTZU1b5exIuq/ldVh+P8XRTnQghwmgg9+3halxFX6YT4eqnPFqWqf63ks5VlL/BlqW3VV9VbT2Nb5hRYoqgF3Cr9Q8AzIjJORMLdDsKFQBIn/iI7W0QmujWBu3C+bL7FaSpJdzsq64pIqIj0E5FBPghxAXCJiIwWkXDgHne/K4FVOF9Ov3fjPh+YALzpsf54ERkuztVbDwOrVLWs2kSxV4HfAOfiNE/gll8JPCrOpbTRwC+Ll5eSAhTh9NMUawBk4nRwt8O5uqzYNzjNOb9xO3cvx2lHL/YCcIuIDBFHlIhcUippncStoUwALitVW0FV9wOfAn8TkYYiEuJ2YBc3L5Ubr4j0EpFRIlIHpzkr240fnP6H8SLSVERa45wjFXkDmCAiF7nnTKTbAd6+kvXK8gHQU0Suc8+FcBEZJB4XPlTiICf+zYyXLFHUEqr6OE6H8BNAOs4X8F6cztpcj6Lv4TQVHcX5xT3RbVcvxPlSisXp4D6M04bfyAexbcX5RfuMu90JwAS3TyIPuAyn5nMYp7P5elXd4rGJ/wIzcDoyz8apLVRkEdAE+Nz9Qi02FafjNhl4B5jhtqmXjjcL+DPwtXslz1CcRBwHpAEfAm97lM/Dqc39Euey1mtxvvRy3eXxOP0U/8Q57onAjZV8huJt/6CqP5Sz+HqcJqxN7nYX4dRAqChenP6Jv+Ic7wM4HeH3u8teB9bhdFp/inPJcUXx7cXpB7ofJ8HuxUlKp/zd4zYLXojTz5LsxvaYG683ZuL0Rx3zvFrKVE5K/RAxtZiIzMS5KuRaf8fiLRF5Beeqmz/5O5ZTISKrgOdU9WV/x2JMZaxGYUw1EJGRItLabXq6AYgGPvZ3XMZ4w656MqZ69MLpi6kPbAeuKtXsZUyNZU1PxhhjKmRNT8YYYyoUlE1PzZs3186dO/s7DGOMqbFSMnPJzXfuY42qE8qOzRsOq2qLssoGZaLo3Lkz8fHx/g7DGGNqFFVld2oW4WEhPP/ldm45vxuPfLiZ83o0Z8rgTrvLWy8oE4UxxpiTPfNFIgfTc0jLzufBCX1o2SCSO0f3YMW2wxWuZ4nCGGOCXF5BEdn5hSQfy+avV544gn3d8FCy8soaL/QnliiMMSaIFRQWcdMr3xEeGsKDl/Y5aXlUnTCO5xWWseZPLFEYY0wQW7QmiV8O78Kos1qVubxeRCjZlSQKuzzWGGOC1PHcAr7ZkcoFvVqWW6ZOWAi5BVajMMaYWmfO8h1s3p/B7aO6c+II9yeqaFkxSxTGGBNk0nPy2Xn4OH+b5O1DJitmTU/GGBNkPli3nwkxlT0g0XuWKIwxJojkFxbxzY5UBndu6rNtWtOTMcYEiXe+T+LrxFSuHdKRkJDK+x68ZYnCGGOCQGGR8uXWFP4xZYDPt21NT8YYEwRW7UzlnG7Nq2TbliiMMSaAFRUpm/enszA+iXH9W5/WNip7LJE1PRljTAB75otEwkKFa4d2pGFk+GltIzI8tMLlliiMMSZA5eQXsu9YFo9fdWb3S9SLsERhjDFBZXtKJrM/3krDumFcPbDDGW8vqk7FqcAShTHGBJj/fLmdv0zsT/KxbPq1a3TG27MahTHGBIkvthwEoE2jujSNiqBpVIRPthsVUXEqsKuejDEmABw5nseiNUlsPZDJ/13Q3afbrms1CmOMCXyf/nCA64d1ZmjXZj7fdlSdihOF1SiMMaYG23ogg9TMXFbtPMIgH47f5KleJU1PVqMwxpgaakNSGq9+s4tDGbnEdWxMqA/Hb/JUWR+FJQpjjKlhdh0+zorEw3yzPbXkmRIRoVXXAFSvkqYnSxTGGFOD5BUU8cd3N9C5WRS/Hduj0rumfcFqFMYYEwBy8gu5Y973hIYId43pWWX9EWWxq56MMSYA/POLRH4zqjt92zaqsr6I8kTVxEQhIvOBXu5kY+CYqsaWUa4xMAfoByjwC1X9pnqiNMaY6qGqJB/LJrp9Y7/sP6yS/g+/JApVnVz8XkT+BqSVU/Qp4GNVvUpEIoB61RGfMcZUl/ScfHakHPfJUBxVxa9NTyIiwCRgVBnLGgLnATcCqGoekFed8RljTFVKycjltrlrEBH+fU2cv8Mpl7/7KEYAB1V1WxnLugIpwMsiEgOsAe5U1ePVGaAxxlSVRWuSeOiyfvRp29DfoVSoyi7MFZElIrKxjNflHsWmAvPK2UQYEAf8W1UHAMeB6RXsb5qIxItIfEpKis8+hzHGVJUdKZk1PklAFdYoVHVMRctFJAyYCJxdTpEkIElVV7nTi6ggUajq88DzAAMHDqzkwX7GGONfWXkF1XKPhC/4c6ynMcAWVU0qa6GqHgD2ikjx1VGjgU3VFZwxxlSVrLwC/vLRZn42oJ2/Q/GKPxPFFEo1O4lIWxH5yGPW7cBcEVkPxAJ/qb7wjDHG9/ILi5j6wiryC5S4jo39HY5XRDX4WmkGDhyo8fHx/g7DGGNO8l7CPiLDQ7mob2t/h3ICEVmjqgPLWmbDjBtjTDX6YsshxvRu5e8wTom/L481xphaoaCwiHe+30dsh6obLryqWI3CGGOqwbNLt7NxXxo3ntPZ36GcMqtRGGNMFUvPyWd7SiZPTYnFGZAisFiiMMaYKnIgLYc3V+/hQFoOt4zsFpBJAixRGGNMlfnXskQmxLSlfp0werep+Xdgl8cShTHGVIGc/EKy8wqr9QFEVcU6s40x5hS88e1uthxI53huAX/7dCuZuQWAkxgAFqzeyx/eXs+yrSmM7NXCn6H6jNUojDGmEvmFReQWFBG/6whZeQU8/+UOMnILuGJAO/75RSIx7Rvx4oqdjOvXmj1HshjRowVzV+3mP9eVN5RdYLFEYYwxlXjm8238kJxOZHgo/5gSiypk5hbQNCqC3alZJOw9xoJfD+ONVbv5/bizqF8njIv7tQ7YzuvSLFEYY0wFjmXlcSgjlzk3OKNbFH/5Nw2LAODW87uVlL1+WOeS98GSJMAShTHGlCnpaBYz33cGrL5//FlB9cV/qixRGGNMGeav3ssDl/amQWQ4TaMi/B2OX1miMMaYUoqKlKSj2XRqFuXvUGoEuzzWGGNKWbk9laFdA//+B1+xRGGMMR4+WJ/Mgvi9XB4bGE+fqw7W9GSMMa5jWXl8nXg4YAfvqypWozDGGNdHGw7ws9h2liRKsURhjDGu+F1HgmJsJl+zRGGMMcDeI1m0bhRJSIA9fa46WKIwxtR6hUXK81/tYNLADv4OpUayRGGMqfX+ungzo3q3pHNzu2+iLJYojDG1Wm5BIWnZ+VzQq6W/Q6mxLFEYY2q1L7emcL4liQr5JVGIyHwRSXBfu0QkoZxyvxWRH0Rko4jME5HIag7VGBPklm5NYdRZligq4pdEoaqTVTVWVWOBt4C3S5cRkXbAHcBAVe0HhAJTqjVQY0xQ23X4OJHhIUSGh/o7lBrNr3dmi3NXyyRgVDlFwoC6IpIP1AOSqys2Y0xwe3ttEqt3HeW3Y3v4O5Qaz999FCOAg6q6rfQCVd0HPAHsAfYDaar6aXkbEpFpIhIvIvEpKSlVFrAxJjh8+WMKf7miHy0bWIt2ZaosUYjIErdvofTrco9iU4F55azfBLgc6AK0BaJE5Nry9qeqz6vqQFUd2KJFcDzQ3BhTNTYlp3NW64Y2VIeXqqzpSVXHVLRcRMKAiUB5Tx8fA+xU1RS3/NvAOcAbvozTGFP7vL02iWnndfV3GAHDn30UY4AtqppUzvI9wFARqQdkA6OB+OoKzhgTfD7bdJB3v99HXKcmtGxoTU7e8meimEKpZicRaQvMUdXxqrpKRBYBa4EC4Hvg+eoP0xgTLD5cn8wzUwfYeE6nyG+JQlVvLGNeMjDeY3oGMKMawzLGBKltBzPo1qK+JYnTYA8uMsYEte0pmfxr6XaO5xYw6/K+/g4nIFmiMMYEtX9+kcjMy/oSERpC3Qi7se50WKIwxgSdtOx87n9nA1ERoQzs3IRGdcP9HVJAs0RhjAk6z325nbtG96BOWCgdm9XzdzgBzxKFMSZofPLDAdbuOQoKPVo18Hc4QcMShTEmKKTn5PPZpoPcNaYHreweCZ+yRGGMCQofrd/PlXHtad/Empp8zRKFMSagLd1yiJXbD5N0NJtnf27PvK4KliiMMQGrsEh5+/t9PHhpH0Swm+mqiCUKY0zA+mjDfsb1bU2LBnX8HUpQs0RhjAk4/121h883H6Rh3XD+dnWMv8MJepYojDEBJb+wiNW7jvDijYP8HUqtYYnCGBMQdqce59mliQBcGdfez9HULv5+FKoxxpzkla93suVAOrkFhdw9P4Hdqcd5ask27ht3FtcN7czwHs39HWKtUmmNQkRaAufiPI40G9gIxKtqURXHZoypRT7euJ/8QqVJvQjScwp45vNEwkOFSQM78PAHm7k0ug3N6tehWX3ruK5u5SYKEbkAmA40xXlo0CEgEvgZ0M19qNDfVDW9GuI0xgSxlIxclm1NoXebhnz5Ywp/ndif1ON57E7NYnCXppzT3WoQ/lRRjWI8cLOq7im9wH3e9aXAWOCtKorNGBPkvtmeyj+W/EijuuE8OKHPCXdVt2oYaUNx1BAVJYonVPVgWQtUtQB4t0oiMsYENVXl68RUerVuwNxVu3npxkGk5+TTplFdf4dmylFRolgnIhtwnmv9lqqmVVNMxpggtnzbYZZsPsi/liXy6MT+RNUJI6qOXYBZk1X012kHjAGmAI+KyDc4SeN9Vc2ujuCMMcGjsEgJDRHeXpvE41fFEBFmF10GinIThaoWAp8An4hIBHAxTtJ4SkQ+V9VrqilGY0yAS8/J57Y31tIgMoyzOzWxJBFgvKrvqWqeiGwCNgNnA32qNCpjTFB549vd3DfuLPq0bUioDdwXcCpM6yLSUUTuFZG1wAdAKHC5qg6oluiMMQHt+z1HWRC/lx0px+nfvpEliQBV0X0UK3H6KRYC01Q1vtqiMsYEvOO5Bbz09S4mDmjHrMv7+jsccwYqqlH8Aeisqr/zdZIQkVgR+VZEEkQkXkQGl1NunIhsFZFEEZnuyxiMOVOqyvHcAn+HUWMtjN/L9cM6ccFZLakXYVc1BbKKEsUIoHF5C0VklIhcepr7fRx4SFVjgQfd6dLbDwWexelE7wNMFRHrGzE+kZ1XyJYDFQ8qkJVXQFGRnjAvIyefB97dSEZOPnOW7+SGl75jf1o2016L55nPt/kktiPH87h7QQJHj+f5ZHvVLS07n2c+30bC3mMM7NTE3+EYH6gozW8APhCRHGAtkIIzhEcPIBZYAvzlNPerQEP3fSMguYwyg4FEVd0BICJvApcDm05zn8bw4oqdtG4YyYrEFDJyCrh5RFei6oSReCiDcf3a8K9liSTsOcY9F/biLx9tpk/bhlzSvw0Pf7CJ64Z1YkNSGiN7tuC2uWvp27YR//x5HI9/soW7xvRk8cb9bEpOp0lUOK0bRiJyau3xjy7eDMCh9FyuHdqRP767gciwUBrWDWfmZYHTdPOvZYmM79eGm8/resrHwNRMFV0e+x7wnoj0wBkUsA2QDryB02dxJvdS3IVz2e0TOLWac8oo0w7Y6zGdBAwpb4MiMg2YBtCxY8czCM0Eq4370sjIyadueChXDGhPdPtG/Oa/3xMWIvRsVZ8fD2aSkZPPr0d25aUVO/nXNXF8sD6ZF1fs5JWbBvP0F9uoGxHKmD6tGNK1KVERYYSECH+fFAtAx2b1+MPbG4gIDWFIl6ZMGlT585tzCwopLFISD2XSMDKcIV2aEhEWQnT7xnRoUg8F5q/ey+b96fRu07DS7fnb8dwCjh3PJ6ZDY3+HYnxIVLXyUqezYZElQOsyFv0RGA18qapvicgknMQzptT6VwMXqeqv3OnrgMGqentl+x44cKDGx1vfuznR7xet44+X9KFR3fCSefvTsgkLCaF5/QjeX5fMRX1bExkeekb7UVXufDOBWZf3JWHvMc7v1bLCmI7nFpKZW8C/rokr8w7lY1l5zPpgE9HtGtG/fSPO7tT0jOIr7ceDGTy1ZBv3XNiTxRsPsCEpjX9fG3fKtYGCwiJe/WY3/do2ZEjXZj6N0VQ9EVmjqgPLWlZlPUylv/hLBfQacKc7uRCYU0axJMDzJ1l7ym6iMqZC3+5I5fVvdzOyR4sTkgRwwvhCl8e288n+RIRrh3bisY+3UCcslPp1whjY+acv9yPH81i96witG0bSqVkUN4/oyrGsvHKHsWhcL4IJMW0JFeGlr3cR26GJTy4z3Xogg+b1I3h2aSIzJvThgfc2MqRLMy7u35oP1u8ntkNjmkZFeDW8xvJtKbzx7W56tGxgSSII+etShGRgJLAMGAWU1Qu4GughIl2AfTh3hf+8ugI0wUFVmbtqD09NjiUstPruBh7cpSmDuzQlK6+AP7y9gSPH8/j3l9t5clIsf//sR6LbN2L5thTuH9+biLAQWlYySuoFbq0kLTufT384wAVntSQiNISQ00wYGTn5PPbxFprUi2BiXHtaNozkP9c5PyZVld8tXM/K7anUDQ/lwQmVX0Py9tp9PPvzuGo9xqb6+CtR3IwzFEgYkIPbtyAibYE5qjpeVQtE5Dc4w4iEAi+p6g9+itcEqA370ohp38hvX2D1IsKYGNeetbuP8tINg7hn4TpuPb8bgzqfXvPRxf1aM/N/P7B06yHaN6nHHaN7nNL63+08wrGsPBL2HuP343pxVuuT+z1EhL9NigHggXc3cjgzl2ZRESc1RSUdzeLehesZ3qM5XZpHWZIIYpX2UYhIT+DfQCtV7Sci0cBlqvpIdQR4OqyPwqzZfYRXV+7mWHY+T02OpUlUhL9D8rl7F67jjtE9eO2bXdw8oiv1I8OY9b9N3H9JbxpG/tTElpaVT5Eq9eqE8ruF6xncuQkKXD+sc6X7SDyUwSMfbqagUJkY146BnZry8IebuGJAO5ZsPsgfLu7NtkMZnN2pCXXCzqxvx/hXRX0U3iSKL4F7gf8UD90hIhtVtZ/PI/URSxTmjnnfM/vqaI7nFtI0CJMEwOb96by6chfXDevEP79IpE5YCBf3b8NXP6bQuVkUy348xOyrYnj4g02EhAiN6oZzaXQbzul2ak+LO5ieQ8sGdZj+1gaOZOXxxFUxzFu9h16tG5Q0iZnAd6aJYrWqDhKR7z0SRYJ7s1yNZImidsrJL+SttUnUrxPGkeN53HRuF3+HVG0OpudwODOXvm0b8V7CPgCGdW3GIx9u5hfDu9CrVQO+2pbCRX3LuhDRO6pKYZFaE1OQOtOrng6LSDecm+QQkauA/T6MzxifeOPb3TSuF0Fadj7XDe3k73CqledjQz2v3np66k/jd55JkgCn7yIs1G6gq428SRT/BzwPnCUi+4CdwLVVGpUxp0hV2bAvjX9MjrW7gY3xsUoThTuExhgRiQJCVDWj6sMyxnuHM3NJOppNTPvGliSMqQKVJgoRubvUNEAasEZVE6omLGO8s/PwcX47P4Em9cJ5cnKsv8MxJih50/Q00H39z52+BOdmuFtEZKGqnjTyqzFVLSe/kIPpOTz52Y+8fOOgoLz81ZiawptE0QyIU9VMABGZASwCzgPWUMYQ4cZUhQXxe1mfdIxHftafexetJzuvkN+M6m5Jwpgq5k2i6Ah4DoyfD3RS1WwRya2asIw5UU5+Iat2HGFAx8bMeG8jMe0b8asRXf0dljG1gjeJ4r/AtyLynjs9AZjndm7bsyFMlcsvLOL9dclMiGnDyJ4tmL96L5MGVj6EtzHGN7waZlxEBuI8k0KAFTX9+dl2w13wmLN8B1/+mEJKRi6L7xxhVzUZU0XOeJhxVY0XkT04T7hDRDqq6h4fxmgMuQWFJ4wXlFdQxKb96bz2i8EcTM+1JGGMn3hzeexlwN+AtsAhnD6LLUDgPJvR1EgFhUX86rV4Lu7XmtG9W3HtnFVc0r8NzRvU4bVvdtO9ZX0u6d8GEaF1o4qH4TbGVB1vahQPA0OBJao6QEQuAKZWbVimNliy+RBXxrXniy2H+HDDAZ6/biA7DmdyODOP1385mK8TDzO2Tyt/h2lMredNoshX1VQRCRGREFVdKiKPVXlkJmh9seUgSzYfYu+RLObcMJBBnZuSeCiTjs3q0bFZvZJyvnrinDHmzHiTKI6JSH3gK2CuiBwCCqo2LBOs0rLyeS8hmavObo8q1AkLpXWjUGtaMqYG8yZRXA5kA78FrgEaAQ9VZVAmOOXkF/L3z7Zy5+gedG1R39/hGGO85M3A8g+qapGqFqjqq6r6NHBfVQdmgsuR43lc/+J3dGhaz5KEMQHGm0Qxtox5F/s6EBPcPv3hAPdc2NPupjYmAJWbKETkVhHZAPQSkfUer53A+uoL0QSD+N1HGdi5qb/DMMachor6KP4LLAYeBaZ7zM9Q1SNVGpUJKmnZ+dSvE0ZoiN0wZ0wgqihRhALpOE+4O4GINLVkYbz1ycYDjO7d0t9hGGNOU0WJYg3uc7JxxnjypIA1NptKfbsjlbV7jvLowP7+DsUYc5rKTRSq2qWqdioiscBzOGNHFQC3qep3pcp0AF4DWgNFwPOq+lRVxWR8Lye/kLmr9thzrI0JcF4NCuiO93SeO7lMVT84w/0+DjykqotFZLw7fX6pMgXAPaq6VkQaAGtE5DNVtaHNA8TXiYcZ17e19U0YE+AqvTxWRP4K3Inz7IlNwJ0i8ugZ7leBhu77RkDySQVU96vqWvd9BrAZsDEdAsjybYcZ0bO5v8Mwxpwhb2oU44FYVS0CEJFXge+BP5zBfu8CPhGRJ3CS1TkVFRaRzsAAYFUFZaYB0wA6dux4BqEZX1BVMnIKaBgZ7u9QjDFnyKumJ6AxUHyVUyNvVhCRJTj9C6X9ERgN/FZV3xKRScCLwJhytlMfeAu4S1XTy9ufqj4PPA/Og4u8idFUnTW7jxLd3qtTxRhTw3mTKB4FvheRpThXP52HF7UJVS3zix9ARF7Dac4CWAjMKadcOE6SmKuqb3sRq6kBsvIKeHHFTh6/KtrfoRhjfKDcRCEi/wT+q6rzRGQZMAgnUdynqgfOcL/JwEhgGTAK2FbG/gWnprFZVf9+hvsz1ejxj7dyz4U9aWDNTsYEhYpqFNuAv4lIG2A+ME9VE3y035uBp0QkDMjB7VsQkbbAHFUdj/OM7uuADSJSvN/7VfUjH8VgqsDx3AJyC4ro3rKBv0MxxviIqFbcnC8inYAp7isSmAe8qao/Vn14p2fgwIEaHx/v7zBqpbfXJtE0KoLze9md2MYEEhFZo6oDy1pW6eWxqrpbVR9T1QHAz4ErcC5VNeYkKxIPM7y7XRJrTDDx5j6KcBGZICJzcQYJ/BG4ssojMwElJSOXl7/eSfsm9QgL9Wb0emNMoKioM3ssMBW4BPgOeBOYpqrHqyk2E0D+/tlWJkS3Ja5TE3+HYozxsYo6s+/HGWr8dzZSrKnIofQc6kWEcY41ORkTlCoaFPCC6gzEBJ6iIiUrv5CFa5K4emB7f4djjKki3t6ZbcxJ/rUskR0px2lYN5yzWjesfAVjTECyRGFOSVpWPh9u2M/IXi04kJ7D3yfH+jskY0wVs8tTjFfWJx0jv7CIP3+0iRCBvy7ewm8u6OHvsIwx1cBqFKZSm/en89SSbWTmFnDN0E5cFtOWKYNthF5jagtLFKZcxXft/3vZdp6aOoB64aGE2EOIjKl1LFGYct2zcB2FRcplMW2pX8dOFWNqK/vfb8q0KTmdHi0bcOv53fwdijHGz6wz25TprbVJXBlnT541xliNwpSyZvdR3vxuD60bRdKyYaS/wzHG1ACWKEwJVeXVlbt4cnIsodZpbYxxWdOTKZGw9xgxHRpbkjDGnMAShSmxcE0SEwdYv4Qx5kTW9GQoLFIe/2QL3VvUp0lUhL/DMcbUMJYoDF9tS6FnywZcebaNAGuMOZk1PRk+3nCAS6Lb+DsMY0wNZYmilkvJyKV+ZBiR4aH+DsUYU0NZoqjl3vxujz10yBhTIUsUtdgPyWnsSs2yhw4ZYypkiaKWOno8j/98uYNZl/f1dyjGmBrOL4lCRGJF5FsRSRCReBEZXEHZUBH5XkQ+qM4Yg93HPxzgmiEdibJRYY0xlfBXjeJx4CFVjQUedKfLcyewuTqCqk1W7zrCoM5N/R2GMSYA+CtRKFDcMN4ISC6rkIi0By4B5lRTXLVCamYuTepF2EOIjDFe8Ve7w13AJyLyBE6yOqeccv8Afg80qGyDIjINmAbQsaM9prM8iYcyeOrzRO4Y1d3foRhjAkSV1ShEZImIbCzjdTlwK/BbVe0A/BZ4sYz1LwUOqeoab/anqs+r6kBVHdiiRQuffpZgUVik/P2zH7lnbE96tKo09xpjDFCFNQpVHVPeMhF5DafvAWAhZTctnQtcJiLjgUigoYi8oarX+jzYWuLrxMOMOqsVnZtH+TsUY0wA8VcfRTIw0n0/CthWuoCq/kFV26tqZ2AK8IUliTPz0Yb9jO/f2t9hGGMCjL/6KG4GnhKRMCAHt29BRNoCc1R1vJ/iCkoZOfkkHc0mMjyUehF2Oawx5tT45VtDVVcAZ5cxPxk4KUmo6jJgWZUHFqRmvP8D7RvX5c7RPfwdijEmANnPyyC38/Bx2jaqy90X9vJ3KMaYAGVDeAS5ud/u5tqhnfwdhjEmgFmNIkit3XOUN7/bQ7P6dWjdKNLf4RhjApgliiCkqry0Yid/mxRDRKhVGo0xZ8YSRRBRVXILivh2RyrDuzenTpg9jMgYc+YsUQSRl7/exYrEw4SGCM/+PM7f4RhjgoQligCnqry5ei9Duzbjx4MZvHjDQAqLlDBrcjLG+IgligC3aucRth7I4LudR/j9uF6ICGGhNiqsMcZ3LFEEuLfWJPHQ5X3tjmtjTJWxb5cAlZlbQPyuI7RqGGlJwhhTpawhOwDlFxZx9/wE9h3L5tbzu/k7HGNMkLOfogFo+bYULoluw+Wx7fwdijGmFrAaRQD6bNNBLuxjw4UbY6qHJYoAcyAth/DQEOpG2M10xpjqYYkigGw9kMGf3t3IHTZcuDGmGlkfRQD597JEnpk6wGoTxphqZTWKAJF0NIsOTetZkjDGVDtLFAHiw/X7ubhfG3+HYYyphSxRBICiImVjcjq92zTwdyjGmFrI+ihquPScfGb9bxMTotsgYmM4GWOqnyWKGm7B6r1cM6QjAzo28XcoxphaypqearCiImV9UpolCWOMX1miqMFWbk9leI/m/g7DGFPL+SVRiEisiHwrIgkiEi8ig8sp11hEFonIFhHZLCLDvNm+qm/j9bW9R7LIyS8E4HBm7knL07Lyef6r7bz+7S4u6W9XOhlj/MtffRSPAw+p6mIRGe9On19GuaeAj1X1KhGJAOp5s/HCGpgp5q/ew+HMPK4e2J5HPtxE3fBQerRqwOb96Yzo0Zx6EWEs2XyQh3/Wj2e+2MaFfVszrm8boupYN5Ixxr/89S2kQEP3fSMguXQBEWkInAfcCKCqeUCeNxsvKqpZiSIrr4DVu44yuHNTbv/v9zw1ZQCHMnLYcySL/7ugO499vIUQgXvG9uLWN9bQv11jBndp6u+wjTEGAFE//PoWkd7AJ4DgNH+do6q7S5WJBZ4HNgExwBrgTlU9Xs42pwHTANp26HT2vj27qip8r6kqq3cdZenWQ4zt04q4jk1Q1Qovc92flk2TehFEhtsd2MaY6iMia1R1YJnLqipRiMgSoKyxsP8IjAa+VNW3RGQSME1Vx5RafyDwLXCuqq4SkaeAdFV9oLJ994keoJvWf3/mH+IMrdl9hPcTkhnatRkX19C+hvz8fJKSksjJyfF3KMaYahAZGUn79u0JDw8/YX5FiaLKmp5Kf/GXCug14E53ciEwp4xiSUCSqq5ypxcB073Zd1EN6aN4PyGZ347tSeN6Ef4OpVxJSUk0aNCAzp072w19xgQ5VSU1NZWkpCS6dOni9Xr+ujw2GRjpvh8FbCtdQFUPAHtFpJc7azROM1SlakIfRVZeAbkFRTU6SQDk5OTQrFkzSxLG1AIiQrNmzU65BcFfndk3A0+JSBiQg9u3ICJtgTmqOt4tdzsw173iaQdwkzcb93eeUFVeWrGTS6JrZnNTaZYkjKk9Tuf/u18ShaquAM4uY34yMN5jOgEos82sIv5uenr8k630bFWfET1a+DUOY4zxhaC8M9ufiSIjJ5+MnHyuGNDebzEEGhHhuuuuK5kuKCigRYsWXHrppae1veeee47XXnvNV+EFlOXLl9O3b19iY2PZt28fV111FQDLli0rOZ7Lli1j5cqV/gzztLz77rts2vRT6/ODDz7IkiVLqnSf//jHP8jKyipz2Y033kiXLl2IjY0lNjaWhIQEANLS0pgwYQIxMTH07duXl19+ucz1P//8c+Li4oiNjWX48OEkJiYCMHfuXKKjo4mOjuacc85h3bp1Za7fuXNnDh8+XDLt+Tf2teBMFEX+2/fnmw8xpncr/wUQgKKioti4cSPZ2dkAfPbZZ7Rr1+60t3fLLbdw/fXX+yo8nysoKKiybc+dO5ff/e53JCQk0K5dOxYtWnRSmdNJFFUZs6fCwsJyl5VOFLNmzWLMmHKvmfGJihIFwOzZs0lISCAhIYHY2FgAnn32Wfr06cO6detYtmwZ99xzD3l5J98CduuttzJ37lwSEhL4+c9/ziOPPAJAly5d+PLLL1m/fj0PPPAA06ZNq5LPdiqCM1H4sUaxIvEw53a38ZlO1cUXX8yHH34IwLx585g6dWrJsiNHjvCzn/2M6Ohohg4dyvr16ykqKqJz584cO3aspFz37t05ePAgM2fO5IknngDg/PPP57777mPw4MH07NmT5cuXA5CVlcWkSZOIjo5m8uTJDBkyhPj4+JPimjVrFoMGDaJfv35MmzYNVWXz5s0MHvzTqDO7du0iOjoagDVr1jBy5EjOPvtsLrroIvbv318Sx/3338/IkSN56qmn+N///seQIUMYMGAAY8aM4eDBgwCkpKQwduxY4uLi+PWvf02nTp1KfjW+8cYbDB48mNjYWH7961+f9KU6Z84cFixYwKxZs7jmmmvYtWsX/fr1O6HMrl27eO6553jyySeJjY1l+fLlpKSkcOWVVzJo0CAGDRrE119/DcDMmTOZNm0aF1544UmJV1W599576devH/3792f+/PmAk4TOO+88rrjiCvr06cMtt9xCkfvL7dNPP2XYsGHExcVx9dVXk5mZCTi/jGfNmsXw4cNZuHAhL7zwAoMGDSImJoYrr7ySrKwsVq5cyfvvv8+9995LbGws27dv58YbbyxJhJ07d2bGjBnExcXRv39/tmzZUunx9HTrrbcycOBA+vbty4wZMwB4+umnSU5O5oILLuCCCy44aZ3yiAgZGRmoKpmZmTRt2pSwsJNb+UWE9PR0wKmFtG3bFoBzzjmHJk2cgUCHDh1KUlKS1/suNn78+JKaTqNGjXj11VdPeRsnUNWge7Xu1kf94ejxXP3TOxv8su/TtWnTphOmn17yo05/a53PXk8v+bHSGKKionTdunV65ZVXanZ2tsbExOjSpUv1kksuUVXV3/zmNzpz5kxVVf388881JiZGVVXvuOMOfemll1RV9dtvv9XRo0erquqMGTN09uzZqqo6cuRIvfvuu1VV9cMPPywpM3v2bJ02bZqqqm7YsEFDQ0N19erVJ8WWmppa8v7aa6/V999/X1VVY2JidPv27aqq+te//lUffvhhzcvL02HDhumhQ4dUVfXNN9/Um266qSSOW2+9tWRbR44c0aKiIlVVfeGFF0pi/L//+z/9y1/+oqqqixcvVkBTUlJ006ZNeumll2peXp6qqt5666366quvnhTvDTfcoAsXLlRV1Z07d2rfvn1VVU84np7HR1V16tSpunz5clVV3b17t5511lkl5eLi4jQrK+uk/SxatEjHjBmjBQUFeuDAAe3QoYMmJyfr0qVLtU6dOrp9+3YtKCjQMWPG6MKFCzUlJUVHjBihmZmZJcfsoYceUlXVTp066WOPPVay7cOHD5e8/+Mf/6hPP/30SZ+t9HSnTp1Kyj377LP6y1/+ssLjWVrx37mgoEBHjhyp69atK9luWeWL99+zZ0/t37+/3nXXXZqTk6Oqqunp6Xr++edr69atNSoqSj/44IMy1//qq6+0adOm2q5dO+3du7empaWdVGb27Nkln6W0Tp06ab9+/TQmJkZjYmK0W7duJX/jYvHx8dq/f389duzYCfNL/79XVQXitZzvVBtIyEdUlX8s2ca1Qzv5O5QzcvvoHn7Zb3R0NLt27WLevHmMHz/+hGUrVqzgrbfeAmDUqFGkpqaSlpbG5MmTmTVrFjfddBNvvvkmkydPLnPbEydOBODss89m165dJdu8807nVp5+/fqV1AhKW7p0KY8//jhZWVkcOXKEvn37MmHCBCZNmsSCBQuYPn068+fPZ/78+WzdupWNGzcyduxYwGlGadPmpyvfPONLSkpi8uTJ7N+/n7y8vJJr2lesWME777wDwLhx40p+WX7++eesWbOGQYMGAZCdnU3Lli29PLoVW7JkyQlNOunp6WRkZABw2WWXUbdu3ZPWWbFiBVOnTiU0NJRWrVoxcuRIVq9eTcOGDRk8eDBdu3YFYOrUqaxYsYLIyEg2bdrEueeeC0BeXh7Dhv00xqfnsdm4cSN/+tOfOHbsGJmZmVx00UVefQ7Pv/Pbb79dEmdZx7O0BQsW8Pzzz1NQUMD+/fvZtGlTuedEsUcffZTWrVuTl5fHtGnTeOyxx3jwwQf55JNPiI2N5YsvvmD79u2MHTuWESNG0LBhwxPWf/LJJ/noo48YMmQIs2fP5u6772bOnJ9uKVu6dCkvvvgiK1asKDeGpUuX0ry504KxbNmykpo0wOHDh7nuuutYsGABjRo1qvCzVMYShY88uzSRoV2b0au1Pa70dF122WX87ne/Y9myZaSmppbM1zKaEkWEYcOGkZiYSEpKCu+++y5/+tOfytxunTp1AAgNDS1pay9rm6Xl5ORw2223ER8fT4cOHZg5c2bJ9eeTJ0/m6quvZuLEiYgIPXr0YMOGDfTt25dvvvmmzO1FRUWVvL/99tu5++67ueyyy1i2bBkzZ86sMC5V5YYbbuDRRx+tNO5TVVRUxDfffFNmQvCMuXQ85Sl9+aWIoKqMHTuWefPmlbmO535uvPFG3n33XWJiYnjllVdYtmyZF5/i9P/OO3fu5IknnmD16tU0adKEG2+80av7DIp/BNSpU4ebbrqp5Ev65ZdfZvr06YgI3bt3p0uXLmzZsuWE5sqUlBTWrVvHkCFDAOd8GjduXMny9evX86tf/YrFixfTrFkzrz6/p8LCQqZMmcKDDz54UvPj6QjKPorqlpNfyJ4jWYzrV9aIJcZbv/jFL3jwwQfp37//CfPPO+885s6dCzi/mpo3b07Dhg0REa644gruvvtuevfufUr/oYYPH86CBQsA2LRpExs2bDipTPGXRfPmzcnMzDyhY7hbt26Ehoby8MMPl/wa7tWrFykpKSWJIj8/nx9++KHM/aelpZV02Hu2H3vG9emnn3L06FEARo8ezaJFizh06BDg9Nvs3r2b09GgQYOSGgPAhRdeyD//+c+S6eKrdypy3nnnMX/+fAoLC0lJSeGrr74q+SL87rvv2LlzJ0VFRcyfP5/hw4czdOhQvv7665Ire7Kysvjxxx/L3HZGRgZt2rQhPz+/5O9eVtzeKO94ekpPTycqKopGjRpx8OBBFi9e7NU+i/ufVJV333235Au5Y8eOfP755wAcPHiQrVu3ltSwijVp0oS0tLSSY/DZZ5/Ru3dvAPbs2cPEiRN5/fXX6dmz5yl93mLTp08nOjqaKVOmnNb6pVmi8IHFG/fX2LGcAkn79u1LmoM8zZw5k/j4eKKjo5k+ffoJX6yTJ0/mjTfeKLfZqTy33XYbKSkpREdH89hjjxEdHX1S9bxx48bcfPPN9O/fn5/97GclzT6l9z1p0iQAIiIiWLRoEffddx8xMTHExsaWe3XRzJkzufrqqxkxYkRJ0wHAjBkz+PTTT4mLi2Px4sW0adOGBg0a0KdPHx555BEuvPBCoqOjGTt2bMkX1amaMGEC77zzTkln9tNPP11yfPv06cNzzz1X6TauuOIKoqOjiYmJYdSoUTz++OO0bu38UBo2bBjTp0+nX79+dOnShSuuuIIWLVrwyiuvMHXq1JKLEoo7nEt7+OGHGTJkCGPHjuWss84qmT9lyhRmz57NgAED2L59u1eftbzj6SkmJoYBAwbQt29ffvGLX5Q0jwFMmzaNiy++uMzO7GuuuYb+/fvTv39/Dh8+XFKjfeCBB1i5ciX9+/dn9OjRPPbYYyV/4/Hjx5OcnExYWBgvvPACV155JTExMbz++uvMnj0bcC6gSE1N5bbbbiM2NpaBA0/5VjKeeOIJPv3005IO7ffff/+Ut3GC8jovAvnVumv1dmbfsyBBCwqLqnWfvlJWp1ZtUFBQoNnZ2aqqmpiYqJ06ddLc3Fw/R6Wak5Oj+fn5qqq6cuXKko77QOHZaV4TBPrxrCrWmX0aVu86QkRoCL1aN+Dttfu48ux21AmrfJjv3IJC3vs+mU5N6xEaYsNgBJKsrCwuuOAC8vPzUVX+/e9/ExHh/3G59uzZw6RJkygqKiIiIoIXXnjB3yEFNDuevuGX51FUtTbd++r+xLLbhks7nJnLnz/cjKpSUKQM796cnanHuWt0T77fc5RzKrgnYsZ7GxnWrRmje7ciPDQwW/E2b95c0jZqjKkdyvp/75dhxv3Ki9y3bOshXlyxkxAR/nxFP5rUi+B4bgEtG0by9OfbuOWNNbRqWIeGdcPp2aoBx7LzaNkgsmT9pKNZRIaHMq5f4PdNqFb8MCVjTPA4ncpBcCYKqfzL772EZF6+cRDZ+YU0iHQe4FH8fOrbR3WnsEjJzi/k/nc2EhYiHMvK45mfx/Fewj5Wbk+lbngod4zyzz0HvhQZGUlqaqoNNW5MLaDqPI8iMjKy8sIegjJRiEBOfhF1I8ruZ0g8lEHnZlGEhYbQoIwmIxEhLFRoEBrCr8/rSkRYCCEi3P7ftXRuHsWsy/qy+0gWHZvVq+qPUuXat29PUlISKSkp/g7FGFMNip9wdyqCMlGEiHA8r+CkRLEjJZO/ffYjOXmF/PmK/uWsfaJ+7X66ZPL+8b3p0LQekeGhNKtfx6cx+0t4ePgpPenKGFP7BG2iyMothPrOdHEz1AvLd/Lw5f1oGnV6V7f0aGV3XRtjap+gTBShAn//bCs3nNOZgiLlqSXb6NGqPk2jwk87SRhjTG0VlImiXkQYkwd1ZM6KnagqL980iJ2Hj9Olednj1hhjjClfUN5HISIZwFZ/x1GJ5sDJA+PXPBanb1mcvmVx+k4nVS3z+c1BWaMAtpZ340hNISLxNT1GsDh9zeL0LYuzegTm7cTGGGOqjSUKY4wxFQrWRPG8vwPwQiDECBanr1mcvmVxVoOg7Mw2xhjjO8FaozDGGOMjliiMMcZUKKAShYiME5GtIpIoItPLWC4i8rS7fL2IxHm7bjXHeY0b33oRWSkiMR7LdonIBhFJEJF4P8d5voikubEkiMiD3q5bzXHe6xHjRhEpFJGm7rJqOZ4i8pKIHBKRjeUsrynnZmVx1pRzs7I4a8q5WVmcfj83faK8R9/VtBcQCmwHugIRwDqgT6ky44HFgABDgVXerlvNcZ4DNHHfX1wcpzu9C2heQ47n+cAHp7NudcZZqvwE4As/HM/zgDhgYznL/X5uehmn389NL+P0+7npTZw14dz0xSuQahSDgURV3aGqecCbwOWlylwOvKaOb4HGItLGy3WrLU5VXamqR93Jb4FTG/PXN87kmNSo41nKVGBeFcVSLlX9CjhSQZGacG5WGmcNOTe9OZ7lqVHHsxS/nJu+EEiJoh2w12M6yZ3nTRlv1vWVU93XL3F+aRZT4FMRWSMi06ogvmLexjlMRNaJyGIR6XuK6/qC1/sSkXrAOOAtj9nVdTwrUxPOzVPlr3PTW/4+N71Ww8/NSgXSEB5lPX6t9LW95ZXxZl1f8XpfInIBzn/G4R6zz1XVZBFpCXwmIlvcXy3+iHMtzvgvmSIyHngX6OHlur5yKvuaAHytqp6/8KrreFamJpybXvPzuemNmnBunoqafG5WKpBqFElAB4/p9kCyl2W8WddXvNqXiEQDc4DLVTW1eL6qJrv/HgLewalK+yVOVU1X1Uz3/UdAuIg092bd6ozTwxRKVe2r8XhWpiacm16pAedmpWrIuXkqavK5WTl/d5J4+8Kp/ewAuvBTJ1XfUmUu4cQOw++8Xbea4+wIJALnlJofBTTweL8SGOfHOFvz002Zg4E97rGtUcfTLdcIp604yh/H091HZ8rvfPX7uellnH4/N72M0+/npjdx1pRz80xfAdP0pKoFIvIb4BOcKxteUtUfROQWd/lzwEc4V5ckAlnATRWt68c4HwSaAf8SEYACdUaWbAW8484LA/6rqh/7Mc6rgFtFpADIBqaoc2bXtOMJcAXwqaoe91i92o6niMzDuRKnuYgkATOAcI8Y/X5uehmn389NL+P0+7npZZzg53PTF2wID2OMMRUKpD4KY4wxfmCJwhhjTIUsURhjjKmQJQpjjDEVskRhjDGmQpYojKmAiDTzGP3zgIjsc99nisi/qmifd4nI9RUsv1REHqqKfRtTFrs81hgvichMIFNVn6jCfYThDE8Rp6oF5ZQRt8y5qppVVbEYU8xqFMacBvd5CB+472eKyKsi8qn7jIGJIvK4+6yBj0Uk3C13toh86Q4C94k7emxpo4C1xUlCRO4QkU3iPB/iTQD3xrJlwKXV8mFNrWeJwhjf6IYzTMflwBvAUlXtj3PX8CVusngGuEpVzwZeAv5cxnbOBdZ4TE8HBqhqNHCLx/x4YITPP4UxZQiYITyMqeEWq2q+iGzAGTqieDiGDThjAfUC+uGMEopbZn8Z22kDbPaYXg/MFZF3cUZILXYIaOu78I0pnyUKY3wjF0BVi0QkX3/q/CvC+X8mwA+qOqyS7WQDkR7Tl+A8Re0y4AER6es2S0W6ZY2pctb0ZEz12Aq0EJFhACIS7vGwHU+bge5umRCgg6ouBX4PNAbqu+V6AmU+p9kYX7NEYUw1UOexnFcBj4nIOiAB5/nUpS3GqUGA0zz1htuc9T3wpKoec5ddAHxYlTEbU8wujzWmhhGRd4Dfq+q2cpa3whmWenT1RmZqK0sUxtQwItILaKXlPBZTRAYB+aqaUK2BmVrLEoUxxpgKWR+FMcaYClmiMMYYUyFLFMYYYypkicIYY0yFLFEYY4yp0P8DAs+cq6CV64wAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots()\n",
    "ax.plot(t,signal.savgol_filter(openLoopVoltage['openLoopVoltage'].flatten(),17,1),\n",
    "        linewidth=0.6,label='Moving average filter operating at 58.82 Hz')\n",
    "ax.set_ylabel('Voltage (V)')\n",
    "ax.set_xlabel('Time (s)')\n",
    "ax.set_title('Open-loop Voltage Measurement')\n",
    "ax.legend(loc='lower right')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a4dd606",
   "metadata": {},
   "source": [
    "请注意，虽然电压明显经过平滑处理，但它仍然包含小的$60 Hz$波纹。如果对信号进行重采样，以便通过移动平均滤波器捕获$60Hz$信号的完整周期，就可以显著减弱该波纹。如果以$17*60Hz=1020Hz$对信号进行重采样，可以使用17点移动平均滤波器来去除$60 Hz$的电线噪声。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "05d9d2e9",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fsResamp = 1020\n",
    "vResamp = signal.resample(openLoopVoltage['openLoopVoltage'].flatten(),\n",
    "                          int(openLoopVoltage['openLoopVoltage'].size/fs*fsResamp))\n",
    "tResamp = np.arange(vResamp.size)/fsResamp\n",
    "vAvgResamp = signal.savgol_filter(vResamp,17,1)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(tResamp,vAvgResamp,linewidth=0.6,label='Moving average filter operating at 60 Hz')\n",
    "ax.set_ylabel('Voltage (V)')\n",
    "ax.set_xlabel('Time (s)')\n",
    "ax.set_title('Open-loop Voltage Measurement')\n",
    "ax.legend(loc='lower right')\n",
    "ax.autoscale(tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a53a4c1",
   "metadata": {},
   "source": [
    "### - <font color  =DarkOrChid size=3>示例3：如何使用中值滤波器来平滑时钟信号的电平，同时保留边缘</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c42aac09",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>中值滤波器</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5a4ae48",
   "metadata": {},
   "source": [
    "移动平均滤波器、加权移动平均滤波器和**Savitzky-Golay**滤波器对它们滤波的所有数据进行平滑处理。然而，有时我们并不需要这种处理。例如，如果数据取自时钟信号并且不希望对其中的锐边进行平滑处理，该怎么办？到当前为止讨论的滤波器都不太适用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "1b23ae99",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "clock = loadmat('clockex.mat')\n",
    "yMovingAverage = signal.convolve(clock['x'].flatten(),np.ones(5)/5,mode='same')\n",
    "ySavitzkyGolay = signal.savgol_filter(clock['x'].flatten(),5,3)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(clock['t'],clock['x'],linewidth=0.6,label='original signal')\n",
    "ax.plot(clock['t'],yMovingAverage,linewidth=0.6,label='moving average')\n",
    "ax.plot(clock['t'],ySavitzkyGolay,linewidth=0.6,label='Savitzky-Golay')\n",
    "ax.set_ylim([-0.5,3.5])\n",
    "ax.legend(loc='upper right')\n",
    "ax.autoscale(enable=True, axis='x', tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0dd21bc4",
   "metadata": {},
   "source": [
    "移动平均滤波器和**Savitzky-Golay**滤波器分别在时钟信号的边沿附近进行欠校正和过校正。保留边沿但仍平滑处理水平的一种简单方法是使用中值滤波器。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "d2ad2eaa",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "yMedFilt = signal.medfilt(clock['x'].flatten(),5)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(clock['t'],clock['x'],linewidth=0.6,label='original signal')\n",
    "ax.plot(clock['t'],yMedFilt,linewidth=0.6,label='median filter')\n",
    "ax.set_ylim([-0.5,3])\n",
    "ax.legend(loc='upper right')\n",
    "ax.autoscale(enable=True, axis='x', tight=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c6f9fff",
   "metadata": {},
   "source": [
    "### - <font color  =DarkOrChid size=3>示例4：如何使用Hample滤波器去除较大的异常值</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5881c9d",
   "metadata": {},
   "source": [
    "#### **<font color=#BB3D00 size=3>使用 Hampel 滤波器去除离群值</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "976f290c",
   "metadata": {},
   "source": [
    "许多滤波器对离群值很敏感。与中值滤波器密切相关的一种滤波器是**Hampel**滤波器。此滤波器有助于在不过度平滑处理数据的情况下去除信号中的离群值。为了演示这一点，加载一段火车鸣笛的录音，并添加一些人为噪声尖峰。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "c7be9cd8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 14000.0)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = loadmat('train.mat')\n",
    "y_addnoise = y['y'].flatten()\n",
    "y_addnoise[::400] = 2.1\n",
    "fig,ax = plt.subplots()\n",
    "ax.scatter(np.arange(12880)+1,y_addnoise,s=1)\n",
    "ax.plot(y_addnoise,linewidth=0.6,label='original signal')\n",
    "ax.set_ylim([-1,2.5])\n",
    "ax.set_xlim([0,14000])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1f5f674",
   "metadata": {},
   "source": [
    "由于引入的每个尖峰只有一个采样的持续时间，可以使用只包含三个元素的中值滤波器来去除尖峰。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "c426b5a6",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f518d138b0>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots()\n",
    "ax.scatter(np.arange(12880)+1,y_addnoise,s=1)\n",
    "ax.plot(y_addnoise,linewidth=0.6,label='original signal')\n",
    "ax.set_ylim([-1,2.5])\n",
    "ax.set_xlim([0,14000])\n",
    "ax.plot(signal.medfilt(y_addnoise,3),linewidth=0.6,label='filtered signal')\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81dd1af2",
   "metadata": {},
   "source": [
    "该滤波器去除了尖峰，但同时去除了原始信号的大量数据点。**Hampel**滤波器的工作原理类似于中值滤波器，但它仅替换与局部中位数值相差几倍标准差的值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "69998867",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f51850eca0>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD4CAYAAADvsV2wAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAABeUElEQVR4nO2dd3xUxfbAv7O7SZZAEjqElqCgCAgBIwEEUYoUERB9T8SnYkVFQd+zgKhg9z0bIih2bAj+UBAFRAVREAgdlCYRiIQOIQmp2+b3x93d7Ca7ySbZZEvm+/kE9t47d+bcdu6ZM2fOFVJKFAqFQhH+6AItgEKhUChqBqXwFQqFopagFL5CoVDUEpTCVygUilqCUvgKhUJRSzAEWoCyaNy4sUxMTAy0GAqFQhEybNmy5bSUsomnbUGt8BMTE9m8eXOgxVAoFIqQQQiR7m2bcukoFApFLUEpfIVCoaglKIWvUCgUtQSl8BUKhaKWoBS+QqFQ1BLCSuE3bNgQIUSpv4YNG1aoTG2oK5RlD9a6Qln22lBXKMvuL0QwZ8tMTk6WFQnLFELg6Xhc1/tSpjbUFcqyB2tdoSx7bagrlGWvCEKILVLKZE/bwsrCd1BotmKzlX+ifDmZvp5wf9UlpQzaunwh3OtS5zS466oN16cqhKXCf+vnNE7nFZVZ5nRuEcnP/VRuXec9vqzcMhsPZnLDOxvKLdd2Svl1fZ76N1MX/+GXup7+djcfrztUbjlfjvGm91P5Le20X+Tq9eIqTuQUllnmcGY+ff/3s1/a+3nfSW79aJNf6np/zUFeWLan3HK+nNNHFu7ky02H/SLX6LfXsSX9bJllLFYb7acuL7eupGd+JDvfXGaZP0+c46rXfy23Ll9kX/77Me77fGu55Xw5p2+s3M/rP/7pF7nu/2IbS3Yc9YtcQ99Yw55jOWWWySk0c/H0H8qtqyoE9Uzb6sRksXEmz1RuOV9euDkFZtIz8/wglfYiOpZV4Je6jmYVEGMs/xL7cozpZ/LJKShbCfjK8ZxCTBZbmWWKLFYyzvrnPGTnm8nIzPdLXadyizieU7YxAb6d06NZBT7dg75w8HQeuUWWsmUCLD70fLMLzFhsZV+fvCILf53KrYiIXsnMN3HEh3vel3N6IqfIb1ZyxtkCsvL9oyMOnMoj32Qts4zVKsu9hlUlLC18hUKhUJSmygpfCNFaCPGzEGKPEGKXEGKShzJCCDFTCJEmhNgphOhe1XY90aBBA4QQPPPss8THxztHuxs0aFCqTJs2bRyylSrjWs61jLe6RowYwZEjR/1S1/Tp01m6bJlf6lq8eDHPPvdcmWVK1uWtvfT0dK6//nq/1AVw3nnnlVnXRR07+u36/Otf/2Lfvn1+qevll19m/hdf+OU8rFy5ismTH/NLXWfOnGHIkCFl1hUZGenzOW3atGmZdfXs2ROr1eqXc3rP+HvYtGmTX+p69913eO/99/1yTjempjJhwv1+qauoqIjevXuXWVfjxo3LrMsf+MPCtwD/kVJeBPQEJgghOpYoMxRob/+7G3jbD+2WIjMzEyklTz35JMeOHXMO4GRmZpYq8/fffwN4LONazrWMt7qWLFlCy5Yt/FLX9OnTuXrYML/UNWrUKJ584okyy5Ssy1t7CQkJLFy40C91ARw4cKDMuvbs3u236/PZZ59x4YUX+qWuRx55hDE33uiX8zBgQH9eeum/fqmrUaNGfP/992XWZTKZfD6nJ0+eLLOuDRs2oNfr/XJO57wzh0svvdQvdd1993juuvNOv5zTHikpzJ49yy91RUVFsW7dujLrOn36dJl1+YMqK3wp5TEp5Vb773PAHqBliWIjgU+kxgagvhAivqptKxQKhcJ3/OrDF0IkAt2A1BKbWgKu4QgZlH4pKBQKRZWp5sjGKhB4wfym8IUQ9YCvgAellCXjj4SHXTwevRDibiHEZiHE5lOnTvlLvGrF35cx8LdF9VOTD6UM0jMqRPDKFqoIT5omGAgSufyi8IUQEWjK/nMp5dceimQArV2WWwEeA1yllO9KKZOllMlNmnj8aEtYI4Llzgg3asFpre5JO4rqpSZeVv6I0hHAB8AeKeVrXootAW4RGj2BbCnlsaq2HUwoRe1v1PmsCOpsKXzBHxOvLgNuBn4XQmy3r3scaAMgpZwDLAOGAWlAPnCbH9qtMaSUzvArhUKhCFWqrPCllGspx8CQWl9zQlXbqhCqd6tQuBGsJovyRNUc4TnTVlnjCkUplF6tOOH2MgpPha9QKKodf+lCf9pnAv9FPvnbbAyGl4dS+H4iWMPrguEm80Swnq+aRCCC+PqUjRrTqhjBcraUwveBmn4o/dWeeiY1glWpKhSu1ESkn1L4fsJfF0sp6eqhNpxWf77XasP5qo0oha8IStSLr2IoF4vCF5TCD2OUK0OhULiiFL4PhLLeVIafQhEcBIMeUQpfoVCEDUIEZ882WAwvpfCDjGC8WauD8o7T3+chGE9rTSuBINE5pagt93wwELYKv7x7yJ/3mL+zFAaLNeCKysSocEXdD9VAKGTLDEaCUF9WiGB9lvw6I1JZt37FFwXs79sq7M9pGDYYlgrf3/jyMPlLgQWjde8gWF9EitDGn/d8sN6jwSKXUvgKn6jpOO9gffH505XhTyWg4vCL8Zvx5Z9qqq2+yqAUvkJRQYLhwQ0GgsRodSOY33vBcL6UwlcEhGDp4gaSYFZO5RHMPYpgvLeC5XQphe8ngvEmg+CVK5SpDae0NhxjbcQfnzgMSSrywg3Vmz9YrIpwIpgt28pgNpvJyMigsLDQue69EfEcT/+LUzrvxyosNt67Jp49e/aUWf97I8ovc2GUhf/0qOuXuq5ubUNK/FLXQ5fWJTrynF/qmj2sGRHnjrFnzwmvZWxSeq3LaDTSqlUrIiIiymynPGqtwlfUHlQvxzsZGRnExMSQmJjofJmZM7K4MD6WCL13B0C+yYI4mctFreqXWb85I6vcMmdyi8jMN9G+aUyV6zpyNh+bhNYNo6tcV8TJXOpHR9C4XlSV67IeyaZt47rUjfKuci02G9ajOaXqklJy5swZMjIyaNu2bZntlIdy6QQhSj/5n3CzzP1FYWEhjRo1KnV+1NkKHoQQNGrUyK0XVlmUwvcTwRoKpqhFVNJSUC/D4Mdf1yhsFb7qxoc2SgVVDHW+HKgzURZhqfD9bbCol4f/UadUUVEm3PIPsrKyyizz8gvPsGb1qkrVv3r1aoYPH+5z+d69e1eqnbLYtH5thWSoKH4ZtBVCfAgMB05KKTt72H4F8A1w0L7qaynlM/5oW6EIZWoyCVmoGi5SSqSUzP7k/6hfv36ZZR95/ClsNXSg69atq5F2/Im/LPy5wJByyqyRUibZ/5SyVygUALz15htcfXkKnTt3ZsaMGQAcOnSIiy66iPvuu4/u3btz+PBhhvbqwunTpwF49tln6dChA4MGDeLGG2/klVdeAeChCXezdMkiABITE5k2bRrdu3fn4osvZu/evQBs3LiRW0ZdRbdu3ejduzf79u0rU75du3bRo0cPkpKS6NKlC/v37wegXr16ANhsNu677z46derE8OHDGTZsGAsXLnST4Z9DLqfHJUluMvTu3dtNhppwRvlF4UspfwUy/VFXKBKshlOoWnSK2sOWLVv44rNP+L/lq9iwYQPvvfce27ZtA2Dfvn3ccsstbNu2jYSEBOc+mzdv5quvvmLbtm18/fXXbN682Wv9jRs3ZuvWrdx7773Ol0KHDh34cOEytm3bxjPPPMPjjz9epoxz5sxh0qRJbN++nc2bN9OqVSu37SuXf8uhQ4f4/fffef/991m/fn0pGb78/lfuvHu8mwy//vqrzzL4i5qMw+8lhNgBHAUellLuqsG2Qwp/dvNVAEbwvpCDkTdX7uf3I9k0iI5EV4Y5aLFKsgvMNKoXWWZ9OiHoUkaM+tq1axl2zQii69alXr16jB49mjVr1jBixAgSEhLo2bOnx31GjhxJnTp1ALjmmmu81j969GgALrnkEr7++msAsrOzefieezmZcQghBGazucxj6NWrF88//zwZGRmMHj2a9u3bu23ftmkD//jHP9DpdDRv3pwrr7yylAxngW7durN0yTdOGW699Vb279/vkwz+oqYU/lYgQUqZK4QYBiwG2nsqKIS4G7gboE2bNjUkXtnIGlQZSkFXD+q0+sYDA9qzMyOLjvGxGMqZeJV2MrdMZQ6wMyOrzO1lGTd169at8D4liYrSJk3p9XosFgsATz75JJf27st/n/qOQ4cOccUVV5RZx9ixY0lJSWHp0qUMHjyY999/n/79+/ssT1RUFBSBroQMV155JYsWLfJJBn9RI1E6UsocKWWu/fcyIEII0dhL2XellMlSyuQmTZrUhHh+QSkU/1IbYsP9fYw1aZj4i8svv5zl331LQX4+eXl5LFq0iL59+5a5T58+ffj2228pLCwkNzeXpUuXVqjN7OxsmjWPB2Du3Lnllj9w4ADnnXceEydOZMSIEezcudNte7dLe/LVV19hs9k4ceIEq1ev9kmGli1b+iyDv6gRhS+EaC7sd7cQooe93TM10bYiOFGfyPMvofp+7N69O2Nuupnrh1xJSkoKd955J926dStzn0svvZQRI0bQtWtXRo8eTXJyMnFxcT63+eijj/LGS89w2WWXYbVayy2/YMECOnfuTFKSNuh6yy23uG0fOGwErVq1onPnzowfP56UlJRy5Xn00UeZMmWKzzL4C3+FZX4BXAE0FkJkANOACAAp5RzgeuBeIYQFKADGyDB74oP1YEL1LPv79gjW0xCq18ef3PfAJMbcca9bLp3ExET++OMPt3LL1++kceP6ADz88MNMnz6d/Px8Lr/8cv7zn/8A8Ppb72KzaSf10KFDzn2Tk5OdlnevXr349tfNTnfUs88+C8AVV1zh0bUyZcoUpkyZUmp9bm4uADqdjldeeYV69epx5swZevTowcUXX+wmw/Ej2XS/xF2GP//801nXs88+i9Vm49JefbjjH0Eehy+lvLGc7bOAWf5oKxjxp3Hl368g+a+uUEadhooT7O+hu+++m927d1NYWMitt95K9+7dAyrP8OHDycrKwmQy8eSTT9K8efOAyuONsM2W6U9/ZnlK2O8fh1aaWqEok3nz5gVaBDd88dsHA+GZWsEHmy7YLZhgw98ulpp8qalrrVBohKXCD3WCdXgjlDseISy6T/j7lgn381VbUQo/yAhlpaqoGP6+1OX1bEMxbFPhX5TC9xO1QU/704osrxejxjEqjlLoivJQCl/hE0oBVw/+UtGhfHnefXs2Q/okc9NNN7FkyRJeeuklAKZPn+7MPTN37lxOHj9WLe0fOnSIzp1LJfn1yrBhw8pN01wZGbp26eLXOj0RtlE6CkWwo+xxjQ/fe4f3Pl9I/0u12PURI0aUKjN37lzGP5IAXORzvRaLBYPB/ypu2bJlfq+zplAWvh8I0jFWRTXg92glv9YWetxzzz2kHzrIvbeM4fXXX2fu3Lncf//9bmUWLlzI5s2bmTLxbpKSkigoKGDLli3069ePSy65hMGDB3PsmGb9Xz98MP99dhr9+vXjjTfe8Fpu987tdO3alV69ejF79myPsp08cZxrBg8gKSmJzp07s2bNGkCbFOaapnnkFT1KpWm+4ooreOyxx+jRowcXXHABW1K13PmHDh2ib9++dO/ene7du9d4Tn2l8BUhT01HNdV2Je1P5syZQ/P4eD75eikPPfSQxzLXX389ycnJvDjzXbZv347BYOCBBx5g4cKFbNmyhdtvv52pU6c6y+dkZ/PLL78wceJEr+We+s8EZs6cWSqVsSvffv0lVw4cxPbt29mxYwdJSUlu2x1pmhcs/8VjmmaLxcLGjRuZMWMGb7/+XwCaNm3Kjz/+yNatW1mwYAETJ06szGmrNMqlowh7gjXMNSjZ9jnN/v4TXUxUmQMDEVYbzfJMsN9YZnUNZGNodZdfRdy3bx9//PEHgwYNAsBqtRIfH+/cfs2115VZLjs7m3M52fTr1w+Am2++meXLl5dq5+Kk7kz99wQihWTUqFGlFL4jTbOxTh1iYmJKpWl2Tc189PDfAJjNZu6//362b9+OXq93S69QEyiF7wNKX4Q+wTioGYQiQbebONEki0bxsejKSI9sNlk4cTKXZuWkRz6bkUVrP4sopaRTp05erfM60XXLLJeVleVTEEKPXn349vufWL/6J26++WYeeeQRt8RpPqVFRkvNbLVqaZFff/11mjVrxo4dO7DZbBiNZb8w/Y1y6fgJf0Wx1JZoGPUOVVSEmJgY8vK0ZGUXXnghp06dcipys9nMrl2lv6fkrVz9+vWpFxPL2rVrAfj88889tnnk8N80btKUu+66izvuuIOtW7e6bXekaS6qQJrm7Oxs4uPj0el0fPrppzWaKRPCWOHXtFWu3Ab+JZhfe/680n6tK4xvwXHjxvHclH+TlJSE1Wpl4cKFPPbYY3Tt2pWkpCSPg5+RkZFeyz3z6mwmTJhAr169nF/OKknqujVc2bsH3bp146uvvmLSpElu2x1pmv8xuK/PaZrvu+8+Pv74Y3r27Mmff/7p9SMv1UVYunR8MZL9qVBqiVGuIJh7YP7+mErNsW3Xn2TmmwBNsY8bNw7Q4vAdXHfddbRPGeBMaZyUlMSvv/5aqq6F361wpkcuq1zHLkns2LHDuezaloPRN9zE7beNo3G9KLf1rmmXH374YUbf+SDtGka6pWl2TabWuHFjVmz4HYD27du7fUDlxRdfBLTInx07f2fX0exScviTsFT4CoWidlLTr+O7776brTt+B6u5/DTNQdADUwrfB8qbsh7OXelQQErVy/IFdZ/6n3nz5rEzI6vcb/sGy+0Ztj58hcJBsOo59ZJS1DRK4QchyhLzP758I0GhCHeUwlcEBPVSC27U6zE8UQrfTwRv9IYCgjd1sHrxKWoSpfB9QD2UoU1teRXXlvt07ty5HD161Ll8xRVXOPPY3PyPUWRnZwVIsuBHKfwgRHUWFBWlNt0zJRW+K5/+32Li4ur7XFfNznQN/BtZKXy/EPgLWZtRZ79maNiwIUIIhBDUjYqga+sGCCFo2LBhlev+cM4sOnfuTOfOnZkxY0apj5K88sorvP3aS85UyTfddJMzVbIrKV06kHlGS1382Wef0aNHD5KSkhg/frxTuderV4/Zr7xASkoK69evZ/LkyXTs2JEuXbrw8MMPV/lYghm/KHwhxIdCiJNCiD+8bBdCiJlCiDQhxE4hRBmzE/xDeUpAKYmKoVJH+J9QM8rPnj2LlLLU39mzZ6tU7/ZtW/n6i89ITU1lw4YNvPfee17rdKRK/vzzz9m+fbvXtAh79uxhwYIF/Pbbb87MlI6cOXl5ebS78CJSU1Pp2LEjixYtYteuXezcuZMnnniiSscS7Phr4tVcYBbwiZftQ4H29r8U4G37/9VCqD1IoYI/3QY16YJQr6rgJnX9OgYNG+7MKzN69Gjnx0Yqy8qVK9myZQuXXnopAAUFBTRt2hTQslcOHKZ9VSs2Nhaj0cidd97J1VdfzfDhw6vUbrDjFwtfSvkrkFlGkZHAJ1JjA1BfCBFfRvmg4spXVzMvNZ15qen0fHEl81LTAZzLv/55qlL1lqzPQW0wpmv6GEM1Dt/1XgtXPPUes7KysNlszuXCwsIK13nrrbeyfft2tm/fzr59+5z5coxGI3q9HgCDwcDGjRu57rrrWLx4MUOGDKn8gYQANeXDbwkcdlnOsK8rhRDibiHEZiHE5lOnKqdI/cnt+uUkntvOm6vSePvH33k0/zXeXJUGwMxVaUzLf5FlfxyvVN2O/R31VQfBGo6o0Cjv+vzw/TfcqV9a7j0SykZCr8v68NPypeTn55OXl8eiRYsYOnQoJ0+e5MyZMxQVFfHdd985y8fExHDu3Lky6xwwYAALFy7k5MmTAGRmZpKeXvqlmZubS3Z2NsOGDWPGjBls377dr8cWbNRULh1P5pXHW1RK+S7wLkBycnLAb+POuoMUGGIZ1b8dWZknGbBhK4X92wEwsX87hi7fxNqL41m9r+IvJ8f+Z+31+ZtQtWoVxVzerJDGRw5wng/3iD/dZDX54HVN6sa1Y26iR48eANx5551ceumlPPXUU6SkpNC2bVs6dOjgLD9u3Djuuece6tSp4/UjKB07duS5557jqquuwmazERERwezZs0lISHArd+7cOUaOHElhYSFSSl5//fXqO9AgoKYUfga4ffimFeA5rioI6du+CcNSEkj7W0dcaj5LVywFrmZsSgIs17av3neKD995lXczk5jYv522rRwc+/tSNhioSSuyIspLcwnU3Mst/UweD0+fRveht1fo2n206ne2/PodvYeO9Xm/xEZ1yT1SfI/M/XUfO1Z9yaVDbylVR3VfnwYNGnicYNigQYMq1337Pffz4lNT3NZNnDjR7ZuvOzOyAC1V8nXXXedc75qKOHXnXqz29Mg33HADN9xwQ6m2cnNznXXFx8ezcePGKstfLkFie9WUS2cJcIs9WqcnkC2lPFZDbfudoaafPHaxbz/2DMezC6vVRRMo1EziYv48cY5XmFHh67xk7RYesn3s3K8y5/STX3bxlJxTqu2auDyZmZnOyJy8IjM7DmtRO5mZZQ3fKYCgiRzwV1jmF8B64EIhRIYQ4g4hxD1CiHvsRZYBB4A04D3gPn+0W918tv4gUZjIyMx3W6/XCXq0iaX389/b1xRfzfg4IyltG9L3+aUeB9qSpy0hedqSGhmEU/77yvHxL7s9DqY7uKBZDAAP9G/HvNR0r9e6JIM6NkPY9wPY+/cJ3v5pFw/O31bmfsLlOl7fvaWzbVdZC001N4HoTG4R6adza6w9hf/wV5TOjVLKeCllhJSylZTyAynlHCnlHPt2KaWcIKU8X0p5sZRysz/arW5+W/ElV+s3cvCM+80dH1eHhH0f8I/8L0vts37KADYczORH060eLcDN4mbel9NqrBeg/PhU2Lq6YdXlZfbUEhpp4YNjUxKY8dN+r9e6JL3Pb4wQxe6ZVdZx7Ii6iyU7vHs3hXB/RAd2au5s21XWPJOl/APzQkXnWGTm5NJWZlS6PUXF8dc8GDXTtgy6t9IsubaN6jIvNZ07Py5+T7WMNRCp08LGPlx7kGPZxTP+JvZvh1GYSWnbkC7TV9DhiWV0mb7CuT0Ki9NCq73UbO+jLJeHIzzWgVGYiY8zul0jR5k9R3Oc63q+uJJLEuo7r3XJXoGnXoKrGEZhxijMjOjawqtsUhaHJs5LTeeeT7e4WfxGYUYnIEJfuUfZaDRy5syZCimUuDoGNxl85UxuEXuO5XAmt8ht3fGcQqxW1Rv1hpSSM2fOYDQaq1yX+uJVGVzYPBYyoGWDaPYvfYHmlnYQCSBpVC+KzJw8ADYdOsvMiJnO/RyDsQN3TSHb2oePIl8msXCec7teJ8octFOumJol9rvxHDc/4LZu/ZQBbssLVvzCv0w/8XbBWPpf1AyAqfn/49n0RwDtWi82P8Cbq9IYm5LAmxEzeSB7onMZvL90ZozpVqZ80v6amLkqjf+ZXitlpr1hmMkky0QPe5ZPq1atyMjIwDUE+sTZAnTZRvQ6zwKbTEWcyD/NCWlmzznPM11d63KUyco6i0XqOK6LonmcpryOZRcSJ7M5Sywyy/e6vJGVb8YmJbknIqtc16lzRZyN1HMqqmw16Utdx7MKMJ+JJCpC77WMTUpOZBV6rMtoNNKqVasy2/CFsFX4/k4FkKLfx1GauK1rHBMJeXBJQgOuObGh1D7D9ev5g/MAiDMayC4sv9utxkZrnuH69Twf/QjHsr1P7hnS1kDK/t1saFPfaaVfo9/Asb5tYVVxHY5ewTX6DTxf5xG3XkJV78iJ/dtx+fLfyZJ13dZfo9/A47p/V6rOiIgI2rZt67Zu6OSlbHliII1KfLzbwfbtm4lZfh/XmF7n0EtXl1n/0MlLnWWWvjCGrUUtOH/YJK68SHsJbktNp//3V3CZcRG/TS4744prXd54+ttdZOWbef2Gi6pc19S3fuOari24LaltmeV8qeuf01bwzs2XkNSusdcyuUUWrp62oty6qkJYKvyqKM0PP36f3WkH+UF/OQ+0yuFytAfVoBf0SmwEB4vLNojWFP7yN6fAP7V1Nw7tgbRZmN9LW74koSFkwMQuFj7b5AhM0h79D96fyR3Ag/O3Ifd+R3yckYOn8iiQcfR76hDjr+6FqaiQwz/OZpvoyPVXDw2ZEM6axB+v9vVTBpA4eanbug/en8l7pzox0UVpnzl1HPNfaWDXhdd1bwWriuuYl5rOpOnP8gZwe0cd3674HhhC4Z8/s/KvPJ7zQdq5H87mnWPtGBm9k8ysHPra93H0HD1hjNQsxw/fm8k3h410t/7BEsNA/jOsK2NTEvhg4RK+2Z0DlB1C+cF7M4Hz+WprBndffj4fvTeTLw7XJ4Y8rrt6mP3+q9wDVjfKQK9WjRhov4c//GETa9evYyzQqJ53i/yj92cy52RHt3Vzf93HllVf08uHENcP35vJu6c7+Rwu7SgfqfdnLhH/VVUVlA+/BFf+9T9e0c8ip9DCjoxst23FnQb3qzdvXrG75ouUfczv9Vepeq3bFzBU5x7ve0fGkwAs2XGUN3iFydnP8U7k69xr+JYLLPt4c1Uan/yyiyf1HzPCtjIswz29EQyDzXdkPOkcvF1/4AwgqX/uTx40fOV1n5mr0niDVwA4sfVbhpp+5M1VaSTvf4Mmpgyf3k5j0qeReS6fR7Kep8js+2CsBG4/8iTDbKuZFvExkUVZznsmYufnXFJUuhdakjuOaPfk+2s0y+a2I0+SYt3CSH/dfy7Hn7puNbdZSgc+lOS2jCc5kVPktu6TX3bxjJzlUaaSvfvbjzxZoXBpR/myenyhSlha+BXl4zV7eXvtEXq2imaSfV2c0UCLejrIhaNn82nmooByiywczj5DHZ0WCldYIkWrK5vTzzJID9GRerLsxaTNRvdp37LVXuWIri1gr/t+EXodD/RvR9bp47AJdAI10OuF+Rv/Zs6qPUwY2LFCPaB5qenM/mk3v7ms+2TNPm6xbxsL1I+CrNx8rBQi9GUPjs5LTdd6A3YrvHWDOkRlWsgr0pR2hLB4tPQcclzapj4bMvJZDURhBiDKoHMqSYdsAJ9vOMRbK/c4ZXetVu/SxU1p25DP1h/EIM3odQKD1UKXacswYCWhYV12H8thaFJCqXGEO/sWuzEMOkEUZvKKLDw4fxuH923nNRfN7Xh+HBa043gmDHS3ymWJrnf3NvURh0qfjwc/Xc+S3Zl0aRnHqexz/AY0i43ibE4uKc//yKSBF3B995boNtooLCzQrlU5173kIHx5xMcZifCnhR8kKAsfuO6nfhzPLuS5tFHOdTumD+bx3BcAOHQmD5BOV1FcYQb36hYxjiUAXP39ZV7rtthn/eW7xElfqMvgV+50LnsatPvnJS0Zm5LgDMNr06COcud4YdbPaawwjauwBfrOD9v52nSP27oLf9RUqqOuO/maf7GMzyOeA7QXtzdcB2gBmsYauUH/MzmFFiTwcsS7Hi38N1buZ4VpHM+ljeK43arcGjUegN4uPt/4H4unr3zy40Y+LXrQoxznNann/J16MJPVKxYxVr8SnRBMNXzOYMvP/MqdfJp5I1uixnsMC72ue/EAYUrbhtygX01OoYUlO47ylXQfL3A8P645pny5Hhe1iCM6srTN+VzaKGwStmdks8I0DoAfHurHqxFv0zEvlTdXpTGwU3PiRD4TrJ/5dN3XTxlQoedn/ZQBNPYyhhHKKIUP1BOFxMcZqSeKu3Cu4XSJjaKxWCVr92uRDDqXUDnH/t5w2Aia4i9+2svaRwL7T+bS88WV/LTruHNdOOHPMfX7r2xHPVFYKoyyy/QVdJm+gg0HtA9iPDh/G+dNWcqD87fx4PxtZOaZqIO7q8CICdCUHED9CBuRQntZCyCnwOxW/qutxfHojolYDk7maNc4JkrvvH5ClA4D7dm2IfVEIfVEIbFGTQEahHaPrUvTZO/54kqidcVtj+zajGhRLPvp3CLu+sR9eotA0iwmitb1IwCINeqJwoxRZ3W257gPu0xfwahZa92OyxFKfNzuTomJ0jv92o7IoZ4vrqSeKEQnis+Z43gcy6Ad87GsAo5ml+wNS7cyXaavoJ4oRABJreLcnhMjZmIi3Xu6dXRWZ/hzl+kr+PP4OQ6dyStz4lxtRil8O44wPJ3djNctLbZiWtSvQ5FV8j/9WwC0Er4nSnP4e88Tx3g0onx/pYMxR17geHYhX2094vM+ngjVEM+KyD2mRxvAPSdRnaUTGGVeynlFe1m5V8uYeGDHWm7VLWfJjqM0/f0dlkW65255NeItuuoOaO3v1bIz5pusPGJYAECSLo16uM+6dvi6He3XWTrBuZxxVlNufcQOkuz1CuDTH9ZzS95cZ7kr9jzl/H2t/AmjKFbsL4rZXKPfQIucndjsvUWBpN8FzdzkOBA1llcj3nJb91rk2+w8ks3RLE1pnrNHifU8r5FbuXG65UyzzuRfJ/7rXNfkx0ncaF4EwGH7TPM+YgeDbWucMjQjk1vzPgLgZcNbpB7UUiz0262NAziWAb5csZqxuh9JP5OHN2b89Cc77dEPzeOMLL6/T6ky13Zr5XadW9Q3UrT3B640rWaadSbbD2dx8/EX/ZbixJ+GSTA8ibVW4ZfnnRsq1rks6Yg06NAL7ZI1FGWnZnXFYaE0FeV/FcgmhVO2GFFAfJyR6+xT6Ssz0SUYBj5rAk8P5bW6NVyq+5PzDacY0EFTjr0b5ZKs28eIri3oE7GX1rpTbmfoOn2xhdu7ntazalTXPXrE0QNwcJeLr9vRroNWDbR46j6x7gbCiPZRXKnb7nGfXpEH3Mo67rkLos6U8CmXPmhX+QF66vYwomsLuidokTkt6nuOFb9Ut5fr9Gvd5LhWv4Ze+t0AtG5YfBxJhmKrub7IdR7Hdfq1TsvbUY+rJT7ErqMds5SLKT6m23onOn+X9Lc73KmiRO8aoE/cKbroD3Gdfi1JretznX5thX32nvBn/qhgeRJr7aDt4m0ZXKnbxrzUzowtp+zRrDya6QSUvtd8pjLKN/LrCcz5MpL7RsLBQ+kctXdR1383lz66KJ5//U++Lezic7hZbaNhvUiubhvP6baN+HXfCdpb1hOp12HZ+702qcimvViheJC2FB4eeiGKle32VQucv3u+uBLXOJimsUbItv9vn6CbII6zYe9hbhee0ylcYtrk1A56l3bizKc533Cwwpqj0cl1bDyeyfhIaBpj5GymdI4TOOjv8vIB6CK0KDNDiYlXTWON6PV14Swk6E5Sl0ISxAnn9o0HM1m3fB6z7Mtbfl5EFAk8OH8bvY78DEB2vpn3nhjLdtv5JOv+pGNE8UN1bbdW8Iv2e93yecBY5zV58tOfeEx3kI/+OsNfXyzg2z/zWeyQK8bIeWfd8xF1MW0DvCv8KEyMf/oV+g35h9dn59S5ItYt/5xjm+qGzXNWay38j9al81Hkyz51+w6dzi+3jD9xPOavjmzO0w/epq2z2XhzVRozV6Xxpv41XomYw9Ts6WGbndNfOFxDufn5XKf7BZPVxixewmRxf3uXPIcn7X5r1zQAGu5KcDbFbpCSitTxrihpizcwHSNKeA63bCKyPa7vq9tJE5Fjr0+UksMb406/ThORhaskh0skA4wS7uMSEwzfAGCxOsq7+N1dLOxW4hR1RHGPZ8mOo8ziJefyxPzZNBNnWbLjKDeYNPfQyXOF3GVYyuzImdxm+B6ztbg+13frLF5yuyby4FpaiEzSz+RxwZ5ZtCna7ybz+Tptjsv2w9qxPmEtnVHUlcZk86Tt7TLLHMsu4P2Il8PqOau1Fv5tvRPgF3vXcTlcOm0xmwQIaQUBOpfHNC46Alyez8q4V4yUVBzFXDT5K/YYQWe36AwUR/RYLdrDKIGUhDh+2Xfc7Vn3R9c1GKlMj8gRDpic2IA3gEKzdj7X7T9GhP0COqxWo3R3zRQWFridV5vdT9SobiS4jTN6v/Ylr/H6vzIZGgHbD57kqoji9YYqmlkCyc+7M7jey/Zs14Fll2M6mVNIHWzE1YnA0+3o2qMAbbIhgE466iv7mrSO0eHq8dIhicDitr5pTBS4vBcd13nfkTMMefUntrmcmx5t6oJdrxsjtA06ATppde99uLwppCkP7ClnUto2pMe0xWwUMGneZtbsOkimtQ6jklra5bORnZtH56mLsaHT5DXo2WavLj6uDo4hG0/P2WfrD/DWKvcXT7ATtgq/vMGWUfbuo2P24iZxKwBtdJq/1dHVB60bStmpOcrlIt3fXrftMd7uttxfvx0As8XK9YefB7RHre6+r3jAegAMxS+dkjlfqgt/p6qoDrRwwNuRfwoQkG+yEA303fM0M4yaf1tKCQKnf9rBau5yW7baAD3Ujy6p8L2z13ib27LDdn00YoHber2u6h3r+3dex3Evs2Yz84rc+u49EhvCEUjISuUKww6mF7T3qW8fZdCBBabqP7WvKfseWFJ0u9s7obXuFCujHmF/YUtnexfFx7jNVne8WDdG3lPKkHrmz2ud9RWabRAJ1+tWc5l+F9/Y+hcXdLk3d7s8SxsOZrLR/lzH7PqMrREfcYPtSZbsELQQ0EJkcheLeSjiK2ZZRnK/4RvSbC2cbTaJiXIqfE/P2f7v3+YW61FeKtcpHDyEpUunvMGWeanpjJz9W5llXElsFI3ZVvMKr2SLwlJUatDQE46wv8Nn/euKKm8Mq6ZfCo6wu/mbtP8n9m9HnMinvtAiQaIjDWxJP0u0iznrTdnGiZLfPND+//Nkybzvvvc8vJWMqqqJXw4Wl3tVINl0SAsYcPRyTD5mpswrcs+x/9epXE6e895TLXkOHcS4rN9wwP1jKQ4lHyfyiRXub1bX+uLqaLapY0JaXLTWZcrIzHeLBnLWKyTNY4rj6B2RT3phxfVRdrizjPZ667mM6bgyLzXd+Vw9OH8bPV9cSZM6UE/n7g4ri2CwmcJS4ZfHz98vpHfeyvIL2omvb6TIxedbVgy9fylWGbc3/t3nMeP0Za9SP+dP/iqlrMKLN37ax4uG93jrZ22QseSAmjFCx6N5rziVBLgrw7JwhOfG4x5hMzNyFj11e3yqw1sulqnWt33a3xuOWpt7ifwabyjOCdRKnObFiPfctr8Q8UGZ9Q/Wa/H8uhJ33KlcE2Os31ZQWneKSoyd9NHv8mm/KRb3c5aVr13TWJHPExGfe9xnzPGXnb8dynZe5At8G/k4rYUWqms+dQgA05nDQPE5fXNVmpsB8+aqNI4vfYk6OQdp+ftbROSkk11gomV931IW+xLxUxMGU61U+P3qn+ESve8DMAJBZDVbZZ6wmN2teb0OnwzMvvpdtI/K5Pym9covHMLc1juBf+pXc98V55dZznVMxFhGelpXmsZqD3IjR3hNJWjVINrj+pKDpL4gKzGmUVVKulhKzzytuEyV7d04Jpk59GZiI+3cRuPZ+JJSMMawurhdl5fvxbpDNEVT7J07dwbgog7u2TVL+usf6N+Oy/U7OD8qh0GGbbQ15tGmYckQ0+AnbH34ZdE8zkhhQSQUwltP3Mx95ZyF4QefrRnBSiD07oL1Fr8jjQ3ABM3skRd3PPlf6kdHcPKciXpRer4v6Mhco+S67i35IrvsHN3hQFkqp3nevlImzZXWdZ4Ll6DFuZ0goK/+j0rL1vzsRr+ZVK5yxHpxnZTHZT5a0w7a6dxDR5ML1rodTx/d7xWWoY/YWeF93PbXaeeh6an1YIC+3mQocWN0S2gAh73Xm56Z77bPyu8XEV1U6By7m7kqjVnAuN6JGNYL7u13PrmHsiAzCPw0FaBWKnxX7jMsCbQIXinZwxuq28j8wgFuD90H+he0iItIQEIi8zBZJY6gkHCefPXhb+ncDby1+i9nUjFXHKF6laGv2FHpfR2UzI4aasQLd9/4pbo/3Zb/afilwnVegX++bvoPw68AbrOSXaloJJ3ZanPThk9ZZ5MQedK5fDy7EEtkaCl3T9RKl06o4OqKcBAty7buBIRllj9P3H5ZIgCFRVp3/5O1nkPkPJ1HRe3iZJZ7SoeKusji44wYhI256w5hlZLP1x9g/f4TzrTNvZ9fERK5e5TCD2J6lwgdBBihX1/mPr8/PZg6PvqpK0pNRhn4Mqv92m4t0QnJf22vATDwx6s8lvN0HhW1i5vOuQ9UF/cApP3fsm+49VMGkCz2kmeyYLVJZhVN5amITzFZbERh4ivTPSExMavWKfxP1u7nxIGdNM4v/ZEShXf8mVcEqp5Ial5qOhPf+AyAS+yuhhaidHieIvB4iyaqTlqJ02Vu76DTHPq7/tDGNToI7/NkAKa/Mcdezn0gINKgPRcNORcSEyBrnQ9/wapNLNX9GGgxqo3/2/Q3HUWxNR6q2TLL49VlO9giHgWgsah8JI2idnKvQQsvjWrSBtjJ5Xr3wV/XlBEA088+BsC0iE/YY2vjXO+SGSIk8uz4xcIXQgwRQuwTQqQJISZ72H6FECJbCLHd/veUp3pqgguahXeo4kvLd5NTYGFd2ikyzhYwd93BkPAtVoR5qek8bnsn0GIowoBEcdzj+qbO/EOlcZ01b7W5u4aCnSorfCGEHpgNDAU6AjcKITp6KLpGSplk/3umqu1Wlj9PhPdkpH0RNzFIv5VDZ/KpeyyVx63vhYRvsSKsXT6vVCpghaIySIv3mcO+4Jp/yDETN5gNLH9Y+D2ANCnlASmlCZgPjPRDvdXC1Rc3D7QINYJeaFPam4vMkPAtVoTkprUjCklR/QyJqvhcAleEEMyKmAnAGz/u44n8/wW1geUPhd8S9ykNGfZ1JeklhNghhFguhOjkrTIhxN1CiM1CiM2nTvn+ZSlf6XtBE7/XGYzodcIZeRAKvsWKUPojGgpFYIgy6Bik3wpAUus4hupSg9rA8ofC92RulXRobQUSpJRdgTfB+e2C0jtK+a6UMllKmdykSe1QztWBI8+4QDJq1lrufXwaD87fVs5ewc9H783gh90nyi+oUNQAOSe12chRwsK2PfsReDewgiGAwh8KPwNo7bLcCnCbky2lzJFS5tp/LwMihBCN/dB2hfjw21U8On9TTTcbMM4T2kzTvRkneTtyBt9s9/yVpUBQ2Zj+245Mo4W1at/5VSj8ReJ5xZ+47KI7gE5oBtboZ+e6+fL9HNVcafyh8DcB7YUQbYUQkcAYwC1fgRCiubAHcgshetjbPeOHtn3m8w2H6LfpPtpaD5ZfOAwQwBMRnxOJ2ZndUWAL6gGl8vh4zV4AJhm+DrAkCoWGcLFcHJO5/so4xtfWSTy9aGvQPW9VVvhSSgtwP7AC2AN8KaXcJYS4Rwhxj73Y9cAfQogdwExgjKzh5OkLfljD+bpjvBU5syabDRiOLwT10e9ypha4Tb88qAeUyiPxx7vKL6RQ1CCubhqHwv/deCcAW6PGB93z5peJV3Y3zbIS6+a4/J4Fzm8bB4QhnZpC1QbkQ4o3xKvO3+9Har8jsKIXcN6UpYzo2oIebRsyM8huSG/MS03nfB8+/qJQ1CRXnvvO+fvdyNfdttUVRaS0bVjTIpVJrZlpe1m7JrVK4XticsR8Lsw7DAb4z44JXLl7KsdNEwItlk9sXj6Xsbq9gRZDoagQnr7GFUhqXS6d2s61+t+4Vv8bLeKMjNT9Rnycb1/sCTS96nqeEalQBDPBFqJZaxT+Nz+tCrQIQUVGlvaloJr6CHpVaVi35NeWFIrQ4KMP3yI738yqPYEPJ641Cr97VvgmTKsMrezf9AyH2HyFIlh5Z/Eqbvt7ChLJgk1lfHKrhghbhR8MX4gPZlZGPgzAYh9j82s4qKoUmXlVy3miUASCX6IeDLQIboSlwvc0yUGvC5KZD0GKL/HC5U0eqa53wucbDnE02/PHqhWKUEAgueHS1uUXrGbCUuGXZF5qOhabMvk9sTjyCQBeWh6cETDzUtPptOxaGpMdaFEUikojgAWbDpdpWNWEhqoVCv+rFau4Rr8h0GIEJUm6AwCYLMH53dfIpRNJ0h3gJsPKQIuiUFSalyPmkG+2BXwiVq1Q+F1iwzsHfmWIEha35QaWTC6e/H90eHI5D87fxnXPzA2KaeHX61YHWgSFospcp19LFCb0goDmzK8VCv9olvL/lsdEw0KeMHzGEOuvLN9+iK9skwJujUwzfBzQ9hUKf3Kpbh9R2X8xMPfbgD1btULhx9evE2gRgprPI54nRuRzoe4w/414j33GcQAMyl9WbZZIealiv9mWwW2GFdXStkIRCLqIA1ytS2WAblvAJmSFvcKfl5rO/pPKpVMWl+l30VycpZM4RJQwO9c/o3+fxxf9wQ1TX+NYdiG//un/D9J4Y8Av19VYWwpFTXCVfjP/jliIQPLV4q+44YnXa9y1E/a5dOotvZcPIzYGWoygJ1n3p8f1h4xjAUi0zmPZH8d5YXSXGpHH9UPRCkU40Nb+fYr2ugzmRz5HhLDSa1kbZq5KY2L/dgzv2qLaZQh7C3+E7jc3q1VROe7RL+FcfqGamatQVJI4kQ9AU7KcqZTXi9s5nl1YYz79sFf4Cv8wOWI+Uw2fs2b7HkbNWltt7cxLTefiad9XW/0KRaCJEFYMwuZcjjUayCuysHBz9adeCFuFHwzfjww3bjd8Tx/d7/ydUfYEkqowc1Uas2zPV0vdCkUw8qb1OXIKLbzz64FqbyssFb6wf1f9kzWe/dKKyvNG5Fs8bFjAtCW7qqX+tpHn6KffWS11KxTBSD/9TiKwkJVf/R/4CUuF76DNj3cGWoSwpLU4xVi+J3Hy0kr79L3l3TlzOvApZBWKmmZL1HiKLNXvlQhrhX+FbkegRQhL+ur/4OmIj3kjYhZLdviWbdMX5qWmY0UluVPUPmJFQY20E7YKf8n2I4EWIewZqV+HkNYqWfqurPrmE96MCOinjxWKgCGwlV+oioStwm+4enKgRagV/GW8mYG6Lfyw/QAPLai80n/xtVdoI07QURf4/D0KRSDYGzWOBuTQ56XqSxQYthOv/qmSbtUY70e+ypCil/hmR8W/jzsvNZ0PlqxkZcSzEFENwikUIUKUsHCx7iC/ZsVWWxthqfC3Hz5LhAjOdL/hyvdRkzloa8Yu2ZbEyVr+75FJLZgxplupsvXIZ+gbawBoSA5bjQ/VsLQKRXASg+bLf3D+No/PTlXxi8IXQgwB3gD0wPtSypdKbBf27cOAfGCclHKrP9r2xJq9R5W1GADa6k7QlhNcpduEARvX7Hier3c9wVJrChLBKVmfP2QiB40qekqh8MTsyJnoTVYWb78sOBW+EEIPzAYGARnAJiHEEinlbpdiQ4H29r8U4G37/9VCf6ly5wSSSHvvamnU4wCM1lffzFyFItyYGTmbQ0XNSZy8lEMvXe3Xuv0xaNsDSJNSHpBSmoD5wMgSZUYCn0iNDUB9IUS8H9r2yKzIN6uraoVCoah2Jhq+rpZ6/aHwWwKuSSAy7OsqWgYAIcTdQojNQojNp07VXDpehUKhCBbyqXgAhC/4Q+F7milTcsqYL2W0lVK+K6VMllImN2nSpFICvWcZVqn9FAqFIhjYZqueD6T4Q+FnAK1dllsBJadf+lLGb7xhGV1dVSsqwWbbBay2dgXUtVEoyuMJ8218ZB1aLXX7I0pnE9BeCNEWOAKMAcaWKLMEuF8IMR9tsDZbSnnMD217JJfo6qpaUQ5/2eIZbnoeK3os6LG52hT2zxK8brmeCfrF7JFt+Eu24JeofwdGWIUiyNhku4CvrH0BSGoV5/f6q6zwpZQWIcT9wAq0sMwPpZS7hBD32LfPAZahhWSmoYVl3lbVdsvCaFD5WGqatywj2Gk7j+9tPZzr6hgERVbJiK5aPP681HReWr4Xk8XKbMsoZ7lLCt9mi/HeAEitUAQXd5n+QwFGXri2M2NTEvxev5De0hYGAcnJyXLz5s0V3m9eajrPLdrMbuPt1SCVoiT7bS25zfwoGbIJ9esYqBNp4IH+7Xy6YR+cv43F248yULeFXrrd3GFYXgMSKxTByYWFczERycEqhGMKIbZIKZM9bQvLmbZjUxLYeDAT9gZaktrBINPLgNaz2j5tcIX2nTGmGzPGdGPUrDjmHWmuFL6i1jLG9ARFRKKrRgdF2CZPq45ZaorS/Nt0D6CFYT11TadK17P4/j4clw35wXqJnyRTKEKLk7I+ACOq8WPmYavwAS4s/CTQIoQ1iYXz+Np2OfFxRp73g89xUNL5jDervDqK2sc/i57kgNQUfXUaq2Gt8KddmxRoEcKS+0wTSSz8HIBRSS1YP2WAXwaYZozpRpRBzwFb8yrXpVCEEhvlRUD1ROa4EtYKvzpGuWs7D5nuZZdMBAQvXNvZ79ZIpEFPf9Orfq1ToQhmnjHf7Py9+P4+1dpWWCt8hX/5yDKY5bYepMvmjEpqUS0v1MlDOxBrVKlOFbWD5MK3+dA+yWpUUvX57h2EvcLfWk1TlGsjT1tupZAodKL6/IxjUxKIjgrL4DGFohSnicMYoauW3rInwv7Jekdexzv8N9BihDQPmdwnRVVnFAFAz7YNydpTl/oir1rbUSgCyUTTBIwGwd5nqyeNgifC3sLvN/ymQIsQcvxuSyTd1tS5vFx3OYtsfWvMEtlwMJPkorertQ2FIpCckrEssV1WpVDmyhD2Fv7YlARQc3nKZKutHd11aQB8aenHIdmcr6190CF5NuIjhnSOr9F5DRP7t+PNVWlQVGNNKhTVzs2myQzSbeF/lhvIJbraxsHKIuwVPsCD8t/MEK8FWoyg5SfrJfyftR9fWAeU2naH+RHiD2bWqDxjUxIYm5LA3U8+xrt65Y5ThAeptotYY+uCgGrLlVMeYe/SATAlllZkimLeso7gC2t/57JAixh44drOxMcZeaB/YAa+r1DuOEUYIZAYI3R+maRYWWqFhb/jSFagRQhqjAYdUQY9jw3tUOpGDORchrEpCZxaFksTkcN9pom8FTkzYLIoFFWhS+F7Wp4ciy2gz1StsPC7tqwfaBGCmiiDnh3TBwflRLWRke8DcE5940ARwuRQF6j+CLfyqBUKf8vRAp40jwu0GEFLdqGFeanpgRbDI/cP7ADAJW0aBFgShaJqjEpqEfCkjrVC4U8aeAHZuvqBFiPomG0ZwVjT4wBaVEwQ4uh1bD+SE2BJFIrKcY/pQQBSazj4wRO1woc/NiWB5kdaws5ASxI8PGe9hfctQwAwRugCNjDrCy/JcZitNu17agpFiLHO1ok4oyEonrFaofAVpTlv+MPEr0rz+ctUgaTNsH+z77sFgRZDoagwObIOfds3ZvYd/csvXAMohV9LccS6hwJjUxI4d/B89QUzRUjy70EXBFoEJ7XChw9w4JTKy7LE2ivQIlSajw7W50O7C0qhCAXOynqBFqEUtUbh7z6mBv1cP5UZrFE53pgYBP5PhaIiXFr0VqBFKEWtUfgdmwff27amiY4s9uC9tDy0/CNjUxJoXC+CdyxXB1oUhcInLHaP+e0fbw4aA6vWKHwHK6219+PmBWYLAONMj7pZ+6FCjDGCuo1bB1oMhcJnJpgfJCNPFzRhz1VS+EKIhkKIH4UQ++3/e5wdI4Q4JIT4XQixXQixuSptVpbvTjXhY8sgXrX8IxDNBwzXNMeLLb0B2BfTk8eGdgiUSFWieawx0CIoFD4RH2ekUZfBNI2rGxQhmVD1KJ3JwEop5UtCiMn25ce8lL1SSnm6iu1Vmn9e1Y9nvm1MoZSBEqHGOCIb0VKcAeBHXR/aWf+ik+4ga3XJfGW9PCRCMb1xPKeI7bbzSNIdCLQoCoWTbbZ2dLOnGP9WXME1cnVQPmdVdemMBD62//4YGFXF+qqNsSkJ7H1uGHufDe9IjxwZjUBySsbyqvl6Ciw2HjGPB8BklfzHfE/QdC8rw+HMfB423+O27j3LsABJo1CU5vnIiUBwzl6vqsJvJqU8BmD/v6mXchL4QQixRQhxd1kVCiHuFkJsFkJsPnXqVBXF885mW/DExvqTEaZntf+Lnge0CxwdqU1RHdG1RUDTHfuD1g2jiatjYL+tZaBFUdRyPrIMZrr5llLrHRFlwficlevSEUL8BDT3sGlqBdq5TEp5VAjRFPhRCLFXSvmrp4JSyneBdwGSk5Orzf8SioOW5XFMNnT+FthPnRDccGlr2Fx9Hx6vKc4Vmjmcn8+Azk0Ru4rXh+O1VFQP95seYFbkm36rz/Gc6XWl78Jgc+eADxa+lHKglLKzh79vgBNCiHgA+/8nvdRx1P7/SWAR0MN/h1AxFmz6W5MpUAJUI0Uywvm7QXQEXxmG8q55KN9sP0I4qMU3Ldcyz9SXVXtOIgTcx2QARIlDy5EqlXK4UyAjK7WfVfgnucBnFu2jSpF6TYXqBIzUzwKKXTk9X1wZNOGYDqrq0lkC3Gr/fSvwTckCQoi6QogYx2/gKuCPKrZbad5a/Vegmq5W7jT9BwnE1dEeBBuCHhedT3RcYzo0r4dEBN3NV1FuG5RMvbiG9L9I8xx27tTFY7l06c2zqAgX0mWzSu1nK2HpWWXlDKHDNEcAFpsN0MbHRIO2AKS0bchEHuV4dmHQ+fGrqvBfAgYJIfYDg+zLCCFaCCGW2cs0A9YKIXYAG4GlUsrvq9hupbnvivMBMHjogoUCG2wdPa6v1+UaAK7q1IyPGcHf+RGkHsxk/ZQBbD1hY47lmqC7+SrK2JQE1k8ZQErbhkgEPc9vAsDP1q5u5Qy6Wje9ROEjLeprYb2Oe2aK5U4AfrN2qlA9RVKPRHuBzLVcxRfW/uw8ks3/zP8k9WAmPYf+KyjHy6rUv5FSngFKfTDW7sIZZv99AOhaskyguOHSNvADWG0yJKedGfTCoz9qxphupE8TXHZ+I3a3+jex9kyYAPcOupg3V9UJupuvsqQezGSgTTJvQzrdgd8jPY9NpMmWtBNHalY4RVDTtXUD2AdWe67tpvWioMizDx7gC8uV3Gj4udR6G3oiDToww3O2cdSNNDCiQ1MWHRzjDMcMRh9+rc2W+aR5HMuiHidfRhEtigItTpnkySjq2mW0WLUXlUXqMAibx/Ilb7Zgvfkqy7z9epaZ72X/3wZeMUJ0lAFcLqFzwFrKcBi6CEv22VpxoS6jwvvttiXQUVd11+Rm0YmBbCW7wAw6sHm5VxZEjeZGa7HCf8B0P+MMK7ABX+qv5mihoEmckfVTStm9QUkI2rj+4WysNtN0ly74wzN/s3V2/jbotbtyiwx+uauL+wZ24kxsR4YmJQLew99KDua6ssN2XjVI5n+OukRehRMbbBdVar85luF+ab9xE20MoHVDbYA/Qu9ZFf7zqn7O39kymj3Ryey2JRAbZeCGqy7HEBcfUj3nWqfw/2/zYT61DXZepFDw5UdFlP7Uk0Gn41PbYLd1m2IH8p9v00N+cLY8HL78Hm0bljoHUHpgzhO6ELjuANlBmGK3Mhy0uQ+yNqxbuSibKy+s2IB8yfvDcdXTTuYCcOi0ljbdbPXeW/5SN5S5lqsAmHNLMq0bRtM9oYHzPgyl3nOtU/izV//Fk6ZbQ3YA02LVtJnFZuNJ061u214xjeavPGPIHltFmbkqzeO1tNnTZ7hm0XjTMoo3LaOKy/jyVqgkcyzXeFxfcnDZFzJlTFXFYYutvdvyCmuyT/u9axvhcxsWWbYqedxyJ2tdBkazC8xu233vyfh23XKlNjhb8hlxYLbCAssVWErcK6usSQDkyyhn2ckFNzPdMs5FhNAN6q51Cn9i/3bExxlJaavdYMdNUeXsEXjyXJ4Nh0snR9bFaBCcknHObY5jC6UuZlVwvZanZJzzXOjsSiFHVF1ZVoYoQ3A9VrYSzmlf+zaOGdr+ICbKfbjQET7sQPoo1Zb0swAU4lsPIT7Oc7I9x/4Gu9/P4f47RzSnZBynZSygfTdiRNcWhEiHsFyC686sARzdsA0HMzmv8DMmmCcBxRZK+8JPvO7rr9TKi629Pa7fY9NS/7rOmH3NfD3HXZb19pDD8eaHMFklKUWzndtCsYtZFVyvZUrRbOe5cNhfEyK1NBMzLKOJ0Akual78AvBVwfzbpOXtcQ3bc1iP3khoVPWJX6/ZbgRK27O/2xJ9ruMx810AZJXqJXi2UC8snAsUW9v5Js3NscByhVu58aaHfJbhCfNtANikQLgMqtQr8QIQXmRqV/gph+zuoOOyATmFWorvH6zJpeQC+MXqPjfDMZi6yHoZAFII1tguZqktBb0Oep3fCACj3W36kPk+Uopmc6XpdUCbRDVjTDcOvOjyHYayBoeCnFqn8B1M7N+OesZIdEI7BQ4rqFOrRl73sfrpdHmrx2Zf77o9Isq9B2KxuyKaxUUzomsLmsWpWaUT+7ejWVw0XVpp2bkdj+Oxc5pyQOhpFBNFVr7JuY83BVMST9fEVsn7wNeXDEBduwUsSigXExGeipfdXok6StbpoAjHpD3t+BrZ/ezWEnJ7un+9nU9hN1CSExsQoS+uJ7fIUp74ABgMBmd7FvTEGrUXhV5Xuueiye6+rsv0Ffb1Wh0/7TmB0OmJj6tDpF7H+r+0rLJW+3NVzxhJjDGSa5JaAaUDAu78eDN5he7uqFCi1ir8sSkJ7Jw+mMaxRm40FacFWnx/H6/7pEn/JOxyvGQAJpnuc/4WwE8lehEXNY+hbeNoltu0bBQW++DS+ikDmDGmW8iEg1UnDkvfce1eNIx3y6DZuWUcDaIj+aTo8nJnVrreCwBXXtgYgDW2i93WTzRNKFcum72tLyxXAqUV/ttefP0A5xw+7hL+4m+89A494dhztUjmlIzlS4sWcXICz/7yQy+5f02sfrT2cikZo25FxxFZbBjNsowsVZfjPPY8TyvXuWWcs3cKkFXgWWneaJrqdg0KLcVnTQCXJGgv9a6ttf9dv9O809bW+ftBnZZ2I6fQ4l6fWWK1SdZPGcAnumv40ZLEm5ZRzkHbndMHs2P6YGfeKdfe8r91j3E4T09OoTlkw31rrcJ3MLF/Ow7FXOLV+tpmc3nDR9Tlc0uxgl1r7exhj/Kp6+Ib3VunWMHrBCyoe7NbWYdcpxp0B8DgJXxMUczQwcN5lZvdr6iUjLmqLxlSm52r8zIb91DMJSXWaLWcsft0QVOk++oklSvHOvus6G06z/fJO7oxmKVnP3mL+nU0OUvclpkG36NU9HZLPiHhfA7IFmxEc0vVrVvX5zoAYqLcexV1Ig0cFMVfHntXP6bUPhtsZc9crV/Hc0/lUMwlNOsyyLkcH2f0qlzrROpZZ29ng60Tr1uud0Zf9R8yGoA4o4FmXQahs58LY4TOmf9m9FUDKDI2Zqvo5DUs05UBQ66laVxdYo2+97KCjVqvPRzWoTdcb4QLmsfQskEd5/JaebGnXSrEjBuSnL9tCO7q5x4ffiq3iEN1OrEmW3vQzVYb86wD3EIvv40YHJSJmgKF49sHB1+6mm8jBrP7aA5Z+SbGpiTwa9TlHJUNnZE8AF/YBjp/r58ygK9EscJxuEPaNyv2gwtgZNcW5QtiV1RWe76Vkk6P7yb2LbWLw6A4fLYAKA4xdYwbHLA0diu/QA6kJAusWo+idzut7Ja/szDodPRtr73szuaZSu1TUuxfbV3Yd0ILXawbpXMmpCuQkRRFt2Clufje/35S8XF8YRvI17qraBIbxde6q5h3QNvv3V//YlNEMmm20ufNERkDOMNtXZdBsMF2ERLYfSxHO8bD9fmrTheOR7YBIDJCz229EzHodW7X02Gtn2uewu+2RA5YGrPScjHzUtOdvfxe3bqy0tKl1HNVEoeuON2wG/MO1g3J563WK/wKIXHrYn9kKR0D7gt5JmtxlVJyUtZ3/nZljuUajmcV8E5mN34s7OCU4XHzHW6hiM/rxgdloqZg4HndeMxWG6dyNRfCtNzRTDBNcvOUTDHd7rbPI4W3OQf5HAUPncl3K/PNjqPO6+YNYW/DMe4ifXjcplruAIp9yg4xHzffwR5bG3ZbW/OBZaiz/GNFt5NYOA8odm9MMd/hVme+yepM8gVgtv982zbaqxyPl6jjRctYbjRNZbutHSszG/GRdajH/aaYbufhgnGczCni4YJx/Ga+gA22izBZJf/LHsAY05MAZBUU+/Cnlmhr5qo0/rLFO5cFkv8atI/4nMgpYrPtAn40d2F2ZjKrC9x97CaLjSmm20s9C29l9+Ia0wvstrbmffMQt+0f7jMwx3x1qefKG2+fTWZVQfuQfN6UwrfjbdDpjKU4IuN0bhH5puIbtbJRa64undX7TjpbzqUuL/+QVuyzFIL4OCMT+7ejeWyUYyVxRoPbYFJtC8esCBP7tyNCr6NxjDYAOcJumbsOXEaVuI4jurZwutKOZmmWdr167m6QC+PjyJbF6zJdJkj9flJ7ueSj3TsORV9UYsD1+aV7ycJ9YpVDKkdkZwHuEUFGgyCf4oH8VvWLt+fZy8ZE6cmU9dh4QBuQrBupd0soV2jf/5w1wk1uBxLokdjAGYt+vMCAWRTLntQqroSrqXghPs7o/NDOiK4tiDUaEEgi9YIRXVugtw/cunpQ9HodOS7ncmL/dpxD6xk4rOhBHbVInWaxUQgkcUYDI7q2cF6706YIfk7LIk8anc9Hpqzn7PlO7N+OWKMBo8Hz8xNrNJRa741Qft6UwvdCqq0Dt5gmc7v5Ea4uegGAEzmF5BQWW+fLJ13udf93baUHshzUsSv8XGnkm+1HnY/LQ1HT2VTQwvkCaNe0Lk1iohibksCax/oDWvjYjumDS+XKqU3hmBVhbEoCHVvE0iBaU/gzxnTjsaEdMOgEd6FZm2YbFMniMMEZY7rhCChxWPZLTD1Y4zJms/GUgSGml5zLwyM/dP5+wzyKI7IRz1n+RbvCTziN5v/frLuYCwvn0s4e+rti72l6Fs1yk3eP/ROc3dpog5IfG64jzdYCo0GHXifY+9ww5tUZ6yxvlcWDrW8a7wXAGGFgeOSHFNkHIsemtHEOvB6XDXjDoln2c6zXcGnR2x7P222XteWr6H8AMDXvnyy09KFupIE6kToW39/HPUzRBddgghljurFz+mCMBj1392vHjDHdEPWa8pz5JooskpTCWWTJuhy1NeBq0wvOOsamJHBf1IvaMTlyy5/XGAF0jI8lUq9zumrMNji/8FPuNT/I3OOJTDJPIDrKwNiUBIZHfujs+TrcN3ufG+bx+XEM1vryDIXy86YUvp2Sg7Y2dLRtGkuEwYDFfpqaxdUh1lhsDn6746jX+oTOe166ArtLx4qOkUnFkT+5Zm2QySHJgVO5nMzV/K3zN2ofbik0W0PSd1iTeBzP8DA7sk6U9hJoEWd0Zk/sMn0F81LTnWM3jkiVArPVWUaiWXlN44qtUtffkQY9EkH3xMZEG41E2d8eFhtYRSQWe87CEV1bIIV798LR8dhxOBuAy9o3xYZwi+1POb944NbVysw1a5FB4y5L5P6BHYgyFNdttUnW/XUGiaCeUTtundBho7iM6zlbm3aKBwZqbkSDwUCcMYJLExuUOocA32wvToLm6dxbbJIP1x50Wtp6vYF6UXrQayGXXVrGuZ0/gPvtbecVWZDAM98Vf+JMuvTORnRtgRU9ERERjExqSdO4us5zcv/ADlW2xMNtbEwpfC8YI/QM7NiMvc8N4/lrtQGqxvUiiY4sVuQfbzzmnJhTknlFWvicY8aeY1LVYmtvNx/+lR2KH96cQouW+RGYZrsLqw2OZRUCMOvnNO43PcD/zDeEpO+wpriXqT6NZ0hgdXZzXjNfz9HsQh7SPQpo1+DNVWl8LLS0Aln5ZnJkHXKLrLxmud45kajkYP/OI9nMtmj7NKgbhQBu79OWndMHc3uf8zglY/nR3JUmsUY2TdUGFR0Teu4t8bXQe5mKyW6dd2/TAJ1OEB9XHCyw4WCm87erlemYlDSqW0vGpiRw5YXaIC1Cxwzdv9hu1mLLo6MM3GJ6jCaxRg6+VNz+m6vSnL+/23mCsSkJ3MtUCi2S6CgDnVoUz+p2Ze76w4wzP8atpsc8nvsZun+xubCl09JObtuIxvWi0EU34H7zRE6cKyoVOOFoO6fQwhTTnezNj/PodJ0xphuHXrqavc8OdfYsHOekqpa4r/dSKKEUvlfKn5gzceCF/BTZ3+O2rl218L5fbdrMv3esmjJYL7u4+fBdcbVGmncfhkEHLeI0P+qkAe35NbIvB6M6hKTvsKboO/QGz1ad62Qju7XfP6k9s2yjGdG1Bf2GaO4Lhx935OCrMEs9iY2i2WzoTnycEV3L7nxr7eUxSnBE1xa8Y/gX4CF7p5Qc0iWgi2vh8dr1HXpDqeVIp5Pbfeo/FH8kuyTxcUZ0wvN9O3TwcPR16jt7J/tjUpyyONp/oH875+/hFzdzbivPSp408ALSYnrQoMtQj2WHDh5O3bhGLus1GR8YeBGHYi7xWrej7fiuA2gQF1fjoe++HHuoUWvz4ZdkVdQAhpq07nx9wwAamo6x++g5SgbO/R3dCXKXOpd3Th8M07Xf34grGSm13Nlv3Nid3lOvYePJCNo3a8OWn7+Hq6BhvSjq6PRgge9kH1LXHSVZ9iROV+R8xWyO7sv//ZHF/XUjiY3RFH645bSvLnw/T4IZY7q5f9h9uRbG51xcOYCDmflcaCieop/292H4wL2mhbZ+9GjbkBljurHsuQHMXJWGLqI37y7az525sbRGm7zkqGPC51voZ+nHuvnbnO0vtPUjUq/j+f/9zKQB7WnQNgnSP2fr35k0q3sZy9MK6CCk073wf1ZtEpXZHl64zDDAef8Iux130NacA7bm/G9dDmOvhlf+0RXme/5eAsuLewsZy6CPPYTTtezaH7Y495mXmk6EtTh1cFmhzR6viRDlXquS27/5b1/mpUXQm4v5w37c1Uk4PnNK4dt5WoxnKCt4c1UaUj+B1+UTbD6UyfgS5d7K7skt9t+OLqqDhwrvYmSUpvCllFz4xHI+nZLCxW0bsuZZYHocJ3OKoL5WfqppHLp9eSyRt6ATYCvQuo+SmzmeW0hmpImYBiE6pS8MeFrcQ7L5Zwqk1W19SRv6YdN44u33wjP6CRzPLuRxMQab1O6R/3V3v4bL/zjOUjke3Y6jzBjTjZmr0jhuGm+/B4rs98D59LAlsmb/aQ5E3kADyz6IwL4Njpu1O7Nku65BPe8fbs5zptcAbb8PRsXjC77ccTNXpZWSobp50XYzx82FbKJtjbUZbiiXjp2J/duRI6PJK7LQs21DEMXTuF3p2bahcxKKo6uXI6PJkdG0sGfmc2yPMRrcpqXnyGjMGDh8TlMZJUPYHN1HR9hXZXOGK9w5mQ+7ThQ6rePtR3LJtkaWGozLkdFug3QT+7cDfQSFsnRZ1310Amf2Vce1c72eJXFkX3SEiHraZ2L/duRjpMCi3XPo9OQTpX0g20MYoaOObBnNiFlr3EIRHeV+STtDnqzj8VhKHrunBGF/nMjnrNngse6KcOyclbRMc7nnvyRVaVOhIUpO9gkmkpOT5ebNm2usvcueX86Rczbi44y8ZXmK3JSH6HvV9WzeuJbkZVfzU/zdPJE5hDPZuew33gLTtUiKCyZ/gwSswsCBqLFEvVhEUVEhBSYrxgidM+Y7KspI/EMLMWAlzWV/b6x88x5sUfUZdPdLZZZTlE2v51dw4pyJZnHR2kfQn/+RzHP5NI6r5+aKcL3+jvUpz//ImXP5NLGXTfv7ME0+6EHc08e87lOSNSsWUnfjG3R/ck2F5Hat2yYlmTl5pWQua5+S5Xq+uJIz2bke63Ddb2Hh3WT+czEXd3KfSe7tvFWUns//wKlzhTSNq1vu+VdUHCHEFimlx48eKAvfhQkDO7pZZQ5f6MaD2gSWU7kmJvZvh9GewdJhiQxLaoNVGOjSUotiMJm0D6zWidS7TfAxmYqINUZQ11h2el0H2fkmdmZkh1VYWCB4YGAHmsVFO6/rpIEX0DiuXikrseT1d5Rt4lL2h13HgeJr72mfkuw+ml2pcFrXuicNaO9R5rL2KcnE/u281lFyv8lf/V5KXm/nraJMHHihW/ikL7Ir/IOy8L2w7dnLyEv5D32uGk2/575lhmk6q0nmoWfeIeWFn+iUu549Mb3dLJGeL66k47l1fPTiU6XSJIA2u9O5fnpcuRb+dc9+xOl8G6bYRGXxBAm9nl/BhXmb2RfT0+drMuC5RdTPO8jR2K4hcR3vefplfi5oR8O42JCQV+GOsvCryPhBXdhEJ5rbffSTBrRnT0zvUpbIxP7t2BPTm5jY+gghSv01aOB54oo3rruqP6bYRGXxBBEPDOzAvpieFbomdwzqztHYriFzHS8f8k8axsWGjLwK36mShS+E+AdaUOJFQA8ppUdzXAgxBHgD0APvSyl9ckoH0sL/8tWJzM/rzvWDr2RsSgIfvfsa244W0HPov/wTHeCDha9QKBQVpTot/D+A0cCvZTSuB2YDQ4GOwI1CiI5VbLfaec00kq35TZyz7N4505UlhUlhNetOoVDULqqk8KWUe6SU+8op1gNIk1IekFKagPmA98xiQULJjHj+zJA3LzWdPBmlBmMVCkWNUhMTr1oCh12WM4AUb4WFEHcDdwO0adOmeiUrA0+zEf010WPmqjSeLnqHhmryiEKhqEHKtfCFED8JIf7w8Oerle5p4p7XgQMp5btSymQpZXKTJk18bCK0mNi/nRoUUygUNU65Fr6UHr6hVjEygNYuy60A73mFawHhmKNDoVAEPzURlrkJaC+EaCuEiATGAEtqoF2FQqFQuFAlhS+EuFYIkQH0ApYKIVbY17cQQiwDkFJagPuBFcAe4Esp5S5vdSoUCoWieqjSoK2UchGwyMP6o8Awl+VlwLKqtKVQKBSKqqFm2ioUCkUtQSl8hUKhqCUoha9QKBS1BKXwFQqFopYQ1OmRhRCngMrmH2gMnPajODWJkj1whLL8SvbAEGyyJ0gpPc5aDWqFXxWEEJu9ZYwLdpTsgSOU5VeyB4ZQkl25dBQKhaKWoBS+QqFQ1BLCWeG/G2gBqoCSPXCEsvxK9sAQMrKHrQ9foVAoFO6Es4WvUCgUCheUwlcoFIpaQtgpfCHEECHEPiFEmhBicqDlARBCtBZC/CyE2COE2CWEmGRf31AI8aMQYr/9/wYu+0yxH8M+IcRgl/WXCCF+t2+bKYTw9IGZ6jgGvRBimxDiuxCUvb4QYqEQYq/9GvQKFfmFEA/Z75k/hBBfCCGMwSq7EOJDIcRJIcQfLuv8JqsQIkoIscC+PlUIkVgD8r9sv292CiEWCSHqB6v8PiGlDJs/QA/8BZwHRAI7gI5BIFc80N3+Owb4E+2D7v8DJtvXTwb+a//d0S57FNDWfkx6+7aNaOmoBbAcGFpDx/BvYB7wnX05lGT/GLjT/jsSqB8K8qN9HvQgUMe+/CUwLlhlBy4HugN/uKzzm6zAfcAc++8xwIIakP8qwGD//d9glt+nY6zpBqv1YLSTvMJleQowJdByeZDzG2AQsA+It6+LB/Z5khvtWwK97GX2uqy/EXinBuRtBawE+lOs8ENF9lg0pSlKrA96+Sn+HnRDtFTm39kVUNDKDiSWUJh+k9VRxv7bgDa7VVSn/CW2XQt8Hszyl/cXbi4dTx9MbxkgWTxi78Z1A1KBZlLKYwD2/5vai3k7jpb23yXXVzczgEcBm8u6UJH9POAU8JHdJfW+EKIuISC/lPII8ArwN3AMyJZS/hAKsrvgT1md+0jtw0rZQKNqk7w0t6NZ7G6y2AkF+cNO4Vfog+k1jRCiHvAV8KCUMqesoh7WyTLWVxtCiOHASSnlFl938bAuILLbMaB109+WUnYD8tBcC94IGvnt/u6RaC6DFkBdIcS/ytrFw7pAnvuyqIysATsOIcRUwAJ8Xo4sQSm/g3BT+EH7wXQhRASasv9cSvm1ffUJIUS8fXs8cNK+3ttxZNh/l1xfnVwGjBBCHALmA/2FEJ8RGrI75MmQUqbalxeivQBCQf6BwEEp5SkppRn4GugdIrI78Keszn2EEAYgDsisNsntCCFuBYYDN0m7P4YQkt+VcFP4QfnBdPso/QfAHinlay6blgC32n/fiubbd6wfYx/Vbwu0Bzbau8TnhBA97XXe4rJPtSClnCKlbCWlTEQ7n6uklP8KBdnt8h8HDgshLrSvGgDsDhH5/wZ6CiGi7W0OQPsudCjI7sCfsrrWdT3avVjdvawhwGPACCllvsumkJC/FDU5YFATf2jf0v0TbdR8aqDlscvUB63rthPYbv8bhua/Wwnst//f0GWfqfZj2IdLRAWQDPxh3zaLGhz0Aa6geNA2ZGQHkoDN9vO/GGgQKvIDTwN77e1+ihYVEpSyA1+gjTWY0azZO/wpK2AE/g9IQ4uEOa8G5E9D87s7nts5wSq/L38qtYJCoVDUEsLNpaNQKBQKLyiFr1AoFLUEpfAVCoWilqAUvkKhUNQSlMJXKBSKWoJS+AqFQlFLUApfoVAoagn/D3W83Mn6ue/9AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from hampel import hampel\n",
    "import pandas as pd\n",
    "y_an_series = pd.Series(y_addnoise.tolist())\n",
    "y_addnoise_imp = hampel(y_an_series,window_size=11,imputation=True)\n",
    "y_addnoise_out = hampel(y_an_series, window_size=11)\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(y_addnoise,linewidth=0.6,label='original signal')\n",
    "ax.scatter(np.arange(12880)+1,y_addnoise,s=3)\n",
    "ax.plot(y_addnoise_imp,linewidth=0.5,label='filtered signal')\n",
    "ax.scatter(y_addnoise_out,y_addnoise[np.array(y_addnoise_out)],c='w',marker='s',edgecolors='black',label='outliers')\n",
    "ax.legend(loc=(0.65,0.6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0199a8a2",
   "metadata": {},
   "source": [
    "仅离群值从原始信号中去除了。"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "58897a6dcd0db738aa6111e56ae5a52ab6b481c197f3f18393df452f88290a94"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
